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Finding the Fourth Proportional to 527,131.74, 727,442.14 and 285,414.47

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Solution

The fourth proportional to 527,131.74, 727,442.14 and 285,414.47 is: 393,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,131.74 : 727,442.14 = 285,414.47 : x
  2. Step 2: Convert to fraction form
    527,131.74/727,442.14 = 285,414.47/x
  3. Step 3: Cross multiply
    527,131.74x = 727,442.14 × 285,414.47
  4. Step 4: Simplify right side
    527,131.74x = 207,622,515,847.94
  5. Step 5: Solve for x
    x = 207,622,515,847.94/527,131.74
  6. Step 6: Final answer
    x = 393,872.16

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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.