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Finding the Fourth Proportional to 687,256.32, 948,446.28 and 429,286.08

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Solution

The fourth proportional to 687,256.32, 948,446.28 and 429,286.08 is: 592,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,256.32 : 948,446.28 = 429,286.08 : x
  2. Step 2: Convert to fraction form
    687,256.32/948,446.28 = 429,286.08/x
  3. Step 3: Cross multiply
    687,256.32x = 948,446.28 × 429,286.08
  4. Step 4: Simplify right side
    687,256.32x = 407,154,785,631.78
  5. Step 5: Solve for x
    x = 407,154,785,631.78/687,256.32
  6. Step 6: Final answer
    x = 592,435.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.