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Finding the Fourth Proportional to 498,886.20, 748,207.80 and 143,863.20

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Solution

The fourth proportional to 498,886.20, 748,207.80 and 143,863.20 is: 215,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,886.20 : 748,207.80 = 143,863.20 : x
  2. Step 2: Convert to fraction form
    498,886.20/748,207.80 = 143,863.20/x
  3. Step 3: Cross multiply
    498,886.20x = 748,207.80 × 143,863.20
  4. Step 4: Simplify right side
    498,886.20x = 107,639,568,372.96
  5. Step 5: Solve for x
    x = 107,639,568,372.96/498,886.20
  6. Step 6: Final answer
    x = 215,759.76

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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.