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Finding the Fourth Proportional to 296,395.97, 444,595.02 and 71,755.97

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Solution

The fourth proportional to 296,395.97, 444,595.02 and 71,755.97 is: 107,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,395.97 : 444,595.02 = 71,755.97 : x
  2. Step 2: Convert to fraction form
    296,395.97/444,595.02 = 71,755.97/x
  3. Step 3: Cross multiply
    296,395.97x = 444,595.02 × 71,755.97
  4. Step 4: Simplify right side
    296,395.97x = 31,902,346,917.27
  5. Step 5: Solve for x
    x = 31,902,346,917.27/296,395.97
  6. Step 6: Final answer
    x = 107,634.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.