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Finding the Fourth Proportional to 527,240.24, 727,592.20 and 285,523.20

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Solution

The fourth proportional to 527,240.24, 727,592.20 and 285,523.20 is: 394,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,240.24 : 727,592.20 = 285,523.20 : x
  2. Step 2: Convert to fraction form
    527,240.24/727,592.20 = 285,523.20/x
  3. Step 3: Cross multiply
    527,240.24x = 727,592.20 × 285,523.20
  4. Step 4: Simplify right side
    527,240.24x = 207,744,453,239.04
  5. Step 5: Solve for x
    x = 207,744,453,239.04/527,240.24
  6. Step 6: Final answer
    x = 394,022.38

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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.