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Finding the Fourth Proportional to 527,023.89, 727,293.18 and 285,306.45

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Solution

The fourth proportional to 527,023.89, 727,293.18 and 285,306.45 is: 393,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,023.89 : 727,293.18 = 285,306.45 : x
  2. Step 2: Convert to fraction form
    527,023.89/727,293.18 = 285,306.45/x
  3. Step 3: Cross multiply
    527,023.89x = 727,293.18 × 285,306.45
  4. Step 4: Simplify right side
    527,023.89x = 207,501,435,295.01
  5. Step 5: Solve for x
    x = 207,501,435,295.01/527,023.89
  6. Step 6: Final answer
    x = 393,723.02

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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.