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Finding the Fourth Proportional to 527,061.80, 727,345.56 and 285,344.42

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Solution

The fourth proportional to 527,061.80, 727,345.56 and 285,344.42 is: 393,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,061.80 : 727,345.56 = 285,344.42 : x
  2. Step 2: Convert to fraction form
    527,061.80/727,345.56 = 285,344.42/x
  3. Step 3: Cross multiply
    527,061.80x = 727,345.56 × 285,344.42
  4. Step 4: Simplify right side
    527,061.80x = 207,543,996,957.78
  5. Step 5: Solve for x
    x = 207,543,996,957.78/527,061.80
  6. Step 6: Final answer
    x = 393,775.45

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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.