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Finding the Fourth Proportional to 392,092.65, 588,126.83 and 111,609.90

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Solution

The fourth proportional to 392,092.65, 588,126.83 and 111,609.90 is: 167,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,092.65 : 588,126.83 = 111,609.90 : x
  2. Step 2: Convert to fraction form
    392,092.65/588,126.83 = 111,609.90/x
  3. Step 3: Cross multiply
    392,092.65x = 588,126.83 × 111,609.90
  4. Step 4: Simplify right side
    392,092.65x = 65,640,776,125.57
  5. Step 5: Solve for x
    x = 65,640,776,125.57/392,092.65
  6. Step 6: Final answer
    x = 167,411.39

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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.