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Finding the Fourth Proportional to 300,832.38, 415,160.19 and 171,791.91

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Solution

The fourth proportional to 300,832.38, 415,160.19 and 171,791.91 is: 237,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,832.38 : 415,160.19 = 171,791.91 : x
  2. Step 2: Convert to fraction form
    300,832.38/415,160.19 = 171,791.91/x
  3. Step 3: Cross multiply
    300,832.38x = 415,160.19 × 171,791.91
  4. Step 4: Simplify right side
    300,832.38x = 71,321,161,996.06
  5. Step 5: Solve for x
    x = 71,321,161,996.06/300,832.38
  6. Step 6: Final answer
    x = 237,079.41

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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.