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Finding the Fourth Proportional to 527,188.33, 727,523.36 and 285,470.92

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Solution

The fourth proportional to 527,188.33, 727,523.36 and 285,470.92 is: 393,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,188.33 : 727,523.36 = 285,470.92 : x
  2. Step 2: Convert to fraction form
    527,188.33/727,523.36 = 285,470.92/x
  3. Step 3: Cross multiply
    527,188.33x = 727,523.36 × 285,470.92
  4. Step 4: Simplify right side
    527,188.33x = 207,686,762,900.69
  5. Step 5: Solve for x
    x = 207,686,762,900.69/527,188.33
  6. Step 6: Final answer
    x = 393,951.75

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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.