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Finding the Fourth Proportional to 413,010.72, 569,959.92 and 231,761.52

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Solution

The fourth proportional to 413,010.72, 569,959.92 and 231,761.52 is: 319,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,010.72 : 569,959.92 = 231,761.52 : x
  2. Step 2: Convert to fraction form
    413,010.72/569,959.92 = 231,761.52/x
  3. Step 3: Cross multiply
    413,010.72x = 569,959.92 × 231,761.52
  4. Step 4: Simplify right side
    413,010.72x = 132,094,777,398.28
  5. Step 5: Solve for x
    x = 132,094,777,398.28/413,010.72
  6. Step 6: Final answer
    x = 319,833.77

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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.