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Finding the Fourth Proportional to 281,785.65, 422,765.96 and 252,013.29

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Solution

The fourth proportional to 281,785.65, 422,765.96 and 252,013.29 is: 378,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,785.65 : 422,765.96 = 252,013.29 : x
  2. Step 2: Convert to fraction form
    281,785.65/422,765.96 = 252,013.29/x
  3. Step 3: Cross multiply
    281,785.65x = 422,765.96 × 252,013.29
  4. Step 4: Simplify right side
    281,785.65x = 106,542,639,219.54
  5. Step 5: Solve for x
    x = 106,542,639,219.54/281,785.65
  6. Step 6: Final answer
    x = 378,098.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.