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Finding the Fourth Proportional to 337,179.72, 465,321.42 and 193,939.68

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Solution

The fourth proportional to 337,179.72, 465,321.42 and 193,939.68 is: 267,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,179.72 : 465,321.42 = 193,939.68 : x
  2. Step 2: Convert to fraction form
    337,179.72/465,321.42 = 193,939.68/x
  3. Step 3: Cross multiply
    337,179.72x = 465,321.42 × 193,939.68
  4. Step 4: Simplify right side
    337,179.72x = 90,244,287,291.95
  5. Step 5: Solve for x
    x = 90,244,287,291.95/337,179.72
  6. Step 6: Final answer
    x = 267,644.47

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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.