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Finding the Fourth Proportional to 321,863.52, 444,151.00 and 200,997.60

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Solution

The fourth proportional to 321,863.52, 444,151.00 and 200,997.60 is: 277,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,863.52 : 444,151.00 = 200,997.60 : x
  2. Step 2: Convert to fraction form
    321,863.52/444,151.00 = 200,997.60/x
  3. Step 3: Cross multiply
    321,863.52x = 444,151.00 × 200,997.60
  4. Step 4: Simplify right side
    321,863.52x = 89,273,284,991.02
  5. Step 5: Solve for x
    x = 89,273,284,991.02/321,863.52
  6. Step 6: Final answer
    x = 277,363.78

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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.