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Finding the Fourth Proportional to 392,098.64, 588,151.60 and 111,615.88

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Solution

The fourth proportional to 392,098.64, 588,151.60 and 111,615.88 is: 167,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,098.64 : 588,151.60 = 111,615.88 : x
  2. Step 2: Convert to fraction form
    392,098.64/588,151.60 = 111,615.88/x
  3. Step 3: Cross multiply
    392,098.64x = 588,151.60 × 111,615.88
  4. Step 4: Simplify right side
    392,098.64x = 65,647,058,407.41
  5. Step 5: Solve for x
    x = 65,647,058,407.41/392,098.64
  6. Step 6: Final answer
    x = 167,424.86

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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.