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Finding the Fourth Proportional to 281,509.20, 422,335.80 and 198,565.20

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Solution

The fourth proportional to 281,509.20, 422,335.80 and 198,565.20 is: 297,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,509.20 : 422,335.80 = 198,565.20 : x
  2. Step 2: Convert to fraction form
    281,509.20/422,335.80 = 198,565.20/x
  3. Step 3: Cross multiply
    281,509.20x = 422,335.80 × 198,565.20
  4. Step 4: Simplify right side
    281,509.20x = 83,861,192,594.16
  5. Step 5: Solve for x
    x = 83,861,192,594.16/281,509.20
  6. Step 6: Final answer
    x = 297,898.59

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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.