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Finding the Fourth Proportional to 320,229.38, 441,939.42 and 176,986.34

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Solution

The fourth proportional to 320,229.38, 441,939.42 and 176,986.34 is: 244,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,229.38 : 441,939.42 = 176,986.34 : x
  2. Step 2: Convert to fraction form
    320,229.38/441,939.42 = 176,986.34/x
  3. Step 3: Cross multiply
    320,229.38x = 441,939.42 × 176,986.34
  4. Step 4: Simplify right side
    320,229.38x = 78,217,240,447.52
  5. Step 5: Solve for x
    x = 78,217,240,447.52/320,229.38
  6. Step 6: Final answer
    x = 244,253.79

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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.