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Finding the Fourth Proportional to 482,249.82, 723,422.70 and 178,725

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Solution

The fourth proportional to 482,249.82, 723,422.70 and 178,725 is: 268,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,249.82 : 723,422.70 = 178,725 : x
  2. Step 2: Convert to fraction form
    482,249.82/723,422.70 = 178,725/x
  3. Step 3: Cross multiply
    482,249.82x = 723,422.70 × 178,725
  4. Step 4: Simplify right side
    482,249.82x = 129,293,722,057.50
  5. Step 5: Solve for x
    x = 129,293,722,057.50/482,249.82
  6. Step 6: Final answer
    x = 268,105.28

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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.