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Finding the Fourth Proportional to 527,132.81, 727,414.52 and 309,312.16

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Solution

The fourth proportional to 527,132.81, 727,414.52 and 309,312.16 is: 426,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,132.81 : 727,414.52 = 309,312.16 : x
  2. Step 2: Convert to fraction form
    527,132.81/727,414.52 = 309,312.16/x
  3. Step 3: Cross multiply
    527,132.81x = 727,414.52 × 309,312.16
  4. Step 4: Simplify right side
    527,132.81x = 224,998,153,031.47
  5. Step 5: Solve for x
    x = 224,998,153,031.47/527,132.81
  6. Step 6: Final answer
    x = 426,833.90

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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.