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Finding the Fourth Proportional to 392,255.26, 588,382.88 and 274,157.26

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Solution

The fourth proportional to 392,255.26, 588,382.88 and 274,157.26 is: 411,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,255.26 : 588,382.88 = 274,157.26 : x
  2. Step 2: Convert to fraction form
    392,255.26/588,382.88 = 274,157.26/x
  3. Step 3: Cross multiply
    392,255.26x = 588,382.88 × 274,157.26
  4. Step 4: Simplify right side
    392,255.26x = 161,309,438,211.71
  5. Step 5: Solve for x
    x = 161,309,438,211.71/392,255.26
  6. Step 6: Final answer
    x = 411,235.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.