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Finding the Fourth Proportional to 322,155.32, 444,796.74 and 201,350.90

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Solution

The fourth proportional to 322,155.32, 444,796.74 and 201,350.90 is: 278,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,155.32 : 444,796.74 = 201,350.90 : x
  2. Step 2: Convert to fraction form
    322,155.32/444,796.74 = 201,350.90/x
  3. Step 3: Cross multiply
    322,155.32x = 444,796.74 × 201,350.90
  4. Step 4: Simplify right side
    322,155.32x = 89,560,223,916.07
  5. Step 5: Solve for x
    x = 89,560,223,916.07/322,155.32
  6. Step 6: Final answer
    x = 278,003.24

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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.