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Finding the Fourth Proportional to 392,257.56, 588,385.26 and 107,927.04

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Solution

The fourth proportional to 392,257.56, 588,385.26 and 107,927.04 is: 161,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,257.56 : 588,385.26 = 107,927.04 : x
  2. Step 2: Convert to fraction form
    392,257.56/588,385.26 = 107,927.04/x
  3. Step 3: Cross multiply
    392,257.56x = 588,385.26 × 107,927.04
  4. Step 4: Simplify right side
    392,257.56x = 63,502,679,491.43
  5. Step 5: Solve for x
    x = 63,502,679,491.43/392,257.56
  6. Step 6: Final answer
    x = 161,890.26

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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.