Divide $414 into three parts such that first one is two-third of the second and the ratio between second and third is 5 : 7.

$90, $135, $189

Step-by-step explanation:

Since the first part of the ratio is two- thirds of the second, then

first part = × 5 =

The ratio is then

: 5 : 7

Sum the 3 parts of the ratio

+ 5 + 7 =

Divide the amount to be shared by the sum to find the value of one part of the ratio.

$414 × = $27 ← value of 1 part of the ratio, then

× $27 = $90

5 × $27 = $135

7 × $27 = $189

The 3 parts are $90, $135, $189

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