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Finding the Fourth Proportional to 231,842.70, 347,764.05 and 225,281.70

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Solution

The fourth proportional to 231,842.70, 347,764.05 and 225,281.70 is: 337,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,842.70 : 347,764.05 = 225,281.70 : x
  2. Step 2: Convert to fraction form
    231,842.70/347,764.05 = 225,281.70/x
  3. Step 3: Cross multiply
    231,842.70x = 347,764.05 × 225,281.70
  4. Step 4: Simplify right side
    231,842.70x = 78,344,876,382.89
  5. Step 5: Solve for x
    x = 78,344,876,382.89/231,842.70
  6. Step 6: Final answer
    x = 337,922.55

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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.