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Finding the Fourth Proportional to 322,144.56, 444,781.92 and 201,340.08

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Solution

The fourth proportional to 322,144.56, 444,781.92 and 201,340.08 is: 277,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,144.56 : 444,781.92 = 201,340.08 : x
  2. Step 2: Convert to fraction form
    322,144.56/444,781.92 = 201,340.08/x
  3. Step 3: Cross multiply
    322,144.56x = 444,781.92 × 201,340.08
  4. Step 4: Simplify right side
    322,144.56x = 89,552,427,355.35
  5. Step 5: Solve for x
    x = 89,552,427,355.35/322,144.56
  6. Step 6: Final answer
    x = 277,988.33

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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.