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Finding the Fourth Proportional to 527,136.40, 727,445.14 and 285,414

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Solution

The fourth proportional to 527,136.40, 727,445.14 and 285,414 is: 393,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,136.40 : 727,445.14 = 285,414 : x
  2. Step 2: Convert to fraction form
    527,136.40/727,445.14 = 285,414/x
  3. Step 3: Cross multiply
    527,136.40x = 727,445.14 × 285,414
  4. Step 4: Simplify right side
    527,136.40x = 207,623,027,187.96
  5. Step 5: Solve for x
    x = 207,623,027,187.96/527,136.40
  6. Step 6: Final answer
    x = 393,869.65

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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.