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Finding the Fourth Proportional to 392,104.67, 588,110.24 and 107,824.10

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Solution

The fourth proportional to 392,104.67, 588,110.24 and 107,824.10 is: 161,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,104.67 : 588,110.24 = 107,824.10 : x
  2. Step 2: Convert to fraction form
    392,104.67/588,110.24 = 107,824.10/x
  3. Step 3: Cross multiply
    392,104.67x = 588,110.24 × 107,824.10
  4. Step 4: Simplify right side
    392,104.67x = 63,412,457,328.78
  5. Step 5: Solve for x
    x = 63,412,457,328.78/392,104.67
  6. Step 6: Final answer
    x = 161,723.29

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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.