Ron Please explain my doubt

[arghya05]

The house on the beach is painted ,with a good paint,brighter than sun.

brighter modifier paint or The house.

The driver,who worked for mr beans,fighting for survival

fighting modifies mr beans or driver.

rule of participle phrase it that i modifies the subject of the preceding clause so fighting must modify beans.

The driver,Fighting for survival modifies the driver.

particle modifier modifies the main subject of the sentence or subject of the preceding clause.

[editor: remainder of post deleted, since the example given was an OG question. OG problems are banned on this forum; please read the forum rules!]

[RonPurewal]

when you have the construction
CLAUSE + comma + MODIFIER1 + comma + MODIFIER2,
the second modifier (MODIFIER2) is rather flexible; it can modify either the original clause or the first modifier (MODIFIER1).

for an example in which MOD2 modifies the original clause, see this GMAT PREP problem:
the-anasazi-settlements-at-chaco-canyon-were-built-t2236.html
this problem has the construction
CLAUSE + comma + MOD1 + comma + connected...
in which connected... modifies the CLAUSE, not the MOD1.

for an example in which MOD2 modifies MOD1, not the CLAUSE, see 11th ed OG #100. (this is the problem we had to remove from the original post.)
here's a similarly constructed sentence:
california is america's most populous state, with a population of over 35 million, almost twice the population of the country's second most populous state.
here, MOD2 almost twice the population... modifies MOD1 "over 35 million". the OG problem (which we can't show) works in the same way.