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Finding the Fourth Proportional to 527,414.95, 727,836.13 and 285,697.53

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Solution

The fourth proportional to 527,414.95, 727,836.13 and 285,697.53 is: 394,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,414.95 : 727,836.13 = 285,697.53 : x
  2. Step 2: Convert to fraction form
    527,414.95/727,836.13 = 285,697.53/x
  3. Step 3: Cross multiply
    527,414.95x = 727,836.13 × 285,697.53
  4. Step 4: Simplify right side
    527,414.95x = 207,940,984,942.88
  5. Step 5: Solve for x
    x = 207,940,984,942.88/527,414.95
  6. Step 6: Final answer
    x = 394,264.49

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Why These Related Problems?

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