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Finding the Fourth Proportional to 431,706.32, 647,162.04 and 291,513.68

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Solution

The fourth proportional to 431,706.32, 647,162.04 and 291,513.68 is: 437,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,706.32 : 647,162.04 = 291,513.68 : x
  2. Step 2: Convert to fraction form
    431,706.32/647,162.04 = 291,513.68/x
  3. Step 3: Cross multiply
    431,706.32x = 647,162.04 × 291,513.68
  4. Step 4: Simplify right side
    431,706.32x = 188,656,587,836.71
  5. Step 5: Solve for x
    x = 188,656,587,836.71/431,706.32
  6. Step 6: Final answer
    x = 437,002.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.