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Finding the Fourth Proportional to 527,374.98, 727,777.50 and 285,657.64

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Solution

The fourth proportional to 527,374.98, 727,777.50 and 285,657.64 is: 394,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,374.98 : 727,777.50 = 285,657.64 : x
  2. Step 2: Convert to fraction form
    527,374.98/727,777.50 = 285,657.64/x
  3. Step 3: Cross multiply
    527,374.98x = 727,777.50 × 285,657.64
  4. Step 4: Simplify right side
    527,374.98x = 207,895,203,095.10
  5. Step 5: Solve for x
    x = 207,895,203,095.10/527,374.98
  6. Step 6: Final answer
    x = 394,207.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.