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Finding the Fourth Proportional to 331,229.38, 457,156.16 and 195,255.22

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Solution

The fourth proportional to 331,229.38, 457,156.16 and 195,255.22 is: 269,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,229.38 : 457,156.16 = 195,255.22 : x
  2. Step 2: Convert to fraction form
    331,229.38/457,156.16 = 195,255.22/x
  3. Step 3: Cross multiply
    331,229.38x = 457,156.16 × 195,255.22
  4. Step 4: Simplify right side
    331,229.38x = 89,262,126,595.16
  5. Step 5: Solve for x
    x = 89,262,126,595.16/331,229.38
  6. Step 6: Final answer
    x = 269,487.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.