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Finding the Fourth Proportional to 527,306.09, 727,678.76 and 285,583.12

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Solution

The fourth proportional to 527,306.09, 727,678.76 and 285,583.12 is: 394,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,306.09 : 727,678.76 = 285,583.12 : x
  2. Step 2: Convert to fraction form
    527,306.09/727,678.76 = 285,583.12/x
  3. Step 3: Cross multiply
    527,306.09x = 727,678.76 × 285,583.12
  4. Step 4: Simplify right side
    527,306.09x = 207,812,767,391.42
  5. Step 5: Solve for x
    x = 207,812,767,391.42/527,306.09
  6. Step 6: Final answer
    x = 394,102.73

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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.