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Finding the Fourth Proportional to 322,144.58, 444,781.92 and 201,340.17

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Solution

The fourth proportional to 322,144.58, 444,781.92 and 201,340.17 is: 277,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,144.58 : 444,781.92 = 201,340.17 : x
  2. Step 2: Convert to fraction form
    322,144.58/444,781.92 = 201,340.17/x
  3. Step 3: Cross multiply
    322,144.58x = 444,781.92 × 201,340.17
  4. Step 4: Simplify right side
    322,144.58x = 89,552,465,161.82
  5. Step 5: Solve for x
    x = 89,552,465,161.82/322,144.58
  6. Step 6: Final answer
    x = 277,988.43

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1.5x scale

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.