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Finding the Fourth Proportional to 392,099.64, 588,153.10 and 111,616.88

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Solution

The fourth proportional to 392,099.64, 588,153.10 and 111,616.88 is: 167,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,099.64 : 588,153.10 = 111,616.88 : x
  2. Step 2: Convert to fraction form
    392,099.64/588,153.10 = 111,616.88/x
  3. Step 3: Cross multiply
    392,099.64x = 588,153.10 × 111,616.88
  4. Step 4: Simplify right side
    392,099.64x = 65,647,813,984.33
  5. Step 5: Solve for x
    x = 65,647,813,984.33/392,099.64
  6. Step 6: Final answer
    x = 167,426.36

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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.