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Finding the Fourth Proportional to 527,430.98, 727,856.54 and 285,712.80

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Solution

The fourth proportional to 527,430.98, 727,856.54 and 285,712.80 is: 394,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,430.98 : 727,856.54 = 285,712.80 : x
  2. Step 2: Convert to fraction form
    527,430.98/727,856.54 = 285,712.80/x
  3. Step 3: Cross multiply
    527,430.98x = 727,856.54 × 285,712.80
  4. Step 4: Simplify right side
    527,430.98x = 207,957,928,613.15
  5. Step 5: Solve for x
    x = 207,957,928,613.15/527,430.98
  6. Step 6: Final answer
    x = 394,284.63

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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.