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Finding the Fourth Proportional to 392,174.28, 588,164.22 and 111,693.96

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Solution

The fourth proportional to 392,174.28, 588,164.22 and 111,693.96 is: 167,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,174.28 : 588,164.22 = 111,693.96 : x
  2. Step 2: Convert to fraction form
    392,174.28/588,164.22 = 111,693.96/x
  3. Step 3: Cross multiply
    392,174.28x = 588,164.22 × 111,693.96
  4. Step 4: Simplify right side
    392,174.28x = 65,694,390,862.11
  5. Step 5: Solve for x
    x = 65,694,390,862.11/392,174.28
  6. Step 6: Final answer
    x = 167,513.26

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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.