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Finding the Fourth Proportional to 527,456.75, 727,893.74 and 285,739.11

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Solution

The fourth proportional to 527,456.75, 727,893.74 and 285,739.11 is: 394,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,456.75 : 727,893.74 = 285,739.11 : x
  2. Step 2: Convert to fraction form
    527,456.75/727,893.74 = 285,739.11/x
  3. Step 3: Cross multiply
    527,456.75x = 727,893.74 × 285,739.11
  4. Step 4: Simplify right side
    527,456.75x = 207,987,710,156.52
  5. Step 5: Solve for x
    x = 207,987,710,156.52/527,456.75
  6. Step 6: Final answer
    x = 394,321.83

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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.