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Finding the Fourth Proportional to 591,253.97, 815,080.17 and 421,192.85

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Solution

The fourth proportional to 591,253.97, 815,080.17 and 421,192.85 is: 580,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,253.97 : 815,080.17 = 421,192.85 : x
  2. Step 2: Convert to fraction form
    591,253.97/815,080.17 = 421,192.85/x
  3. Step 3: Cross multiply
    591,253.97x = 815,080.17 × 421,192.85
  4. Step 4: Simplify right side
    591,253.97x = 343,305,935,705.38
  5. Step 5: Solve for x
    x = 343,305,935,705.38/591,253.97
  6. Step 6: Final answer
    x = 580,640.39

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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.