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Finding the Fourth Proportional to 527,551.92, 728,019 and 285,832.80

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Solution

The fourth proportional to 527,551.92, 728,019 and 285,832.80 is: 394,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,551.92 : 728,019 = 285,832.80 : x
  2. Step 2: Convert to fraction form
    527,551.92/728,019 = 285,832.80/x
  3. Step 3: Cross multiply
    527,551.92x = 728,019 × 285,832.80
  4. Step 4: Simplify right side
    527,551.92x = 208,091,709,223.20
  5. Step 5: Solve for x
    x = 208,091,709,223.20/527,551.92
  6. Step 6: Final answer
    x = 394,447.83

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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.