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Finding the Fourth Proportional to 322,425.46, 444,809.11 and 201,356.56

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Solution

The fourth proportional to 322,425.46, 444,809.11 and 201,356.56 is: 277,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,425.46 : 444,809.11 = 201,356.56 : x
  2. Step 2: Convert to fraction form
    322,425.46/444,809.11 = 201,356.56/x
  3. Step 3: Cross multiply
    322,425.46x = 444,809.11 × 201,356.56
  4. Step 4: Simplify right side
    322,425.46x = 89,565,229,015.43
  5. Step 5: Solve for x
    x = 89,565,229,015.43/322,425.46
  6. Step 6: Final answer
    x = 277,785.85

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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.