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Finding the Fourth Proportional to 322,201.38, 444,638.25 and 178,961.70

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Solution

The fourth proportional to 322,201.38, 444,638.25 and 178,961.70 is: 246,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,201.38 : 444,638.25 = 178,961.70 : x
  2. Step 2: Convert to fraction form
    322,201.38/444,638.25 = 178,961.70/x
  3. Step 3: Cross multiply
    322,201.38x = 444,638.25 × 178,961.70
  4. Step 4: Simplify right side
    322,201.38x = 79,573,217,105.03
  5. Step 5: Solve for x
    x = 79,573,217,105.03/322,201.38
  6. Step 6: Final answer
    x = 246,967.34

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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.