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Finding the Fourth Proportional to 392,453.36, 588,691.58 and 108,148.22

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Solution

The fourth proportional to 392,453.36, 588,691.58 and 108,148.22 is: 162,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,453.36 : 588,691.58 = 108,148.22 : x
  2. Step 2: Convert to fraction form
    392,453.36/588,691.58 = 108,148.22/x
  3. Step 3: Cross multiply
    392,453.36x = 588,691.58 × 108,148.22
  4. Step 4: Simplify right side
    392,453.36x = 63,665,943,021.79
  5. Step 5: Solve for x
    x = 63,665,943,021.79/392,453.36
  6. Step 6: Final answer
    x = 162,225.50

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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.