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Finding the Fourth Proportional to 392,098.12, 587,910.02 and 175,917.24

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Solution

The fourth proportional to 392,098.12, 587,910.02 and 175,917.24 is: 263,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,098.12 : 587,910.02 = 175,917.24 : x
  2. Step 2: Convert to fraction form
    392,098.12/587,910.02 = 175,917.24/x
  3. Step 3: Cross multiply
    392,098.12x = 587,910.02 × 175,917.24
  4. Step 4: Simplify right side
    392,098.12x = 103,423,508,086.75
  5. Step 5: Solve for x
    x = 103,423,508,086.75/392,098.12
  6. Step 6: Final answer
    x = 263,769.46

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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.