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Finding the Fourth Proportional to 322,624.41, 482,990.22 and 226,227.39

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Solution

The fourth proportional to 322,624.41, 482,990.22 and 226,227.39 is: 338,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,624.41 : 482,990.22 = 226,227.39 : x
  2. Step 2: Convert to fraction form
    322,624.41/482,990.22 = 226,227.39/x
  3. Step 3: Cross multiply
    322,624.41x = 482,990.22 × 226,227.39
  4. Step 4: Simplify right side
    322,624.41x = 109,265,616,866.13
  5. Step 5: Solve for x
    x = 109,265,616,866.13/322,624.41
  6. Step 6: Final answer
    x = 338,677.46

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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.