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Finding the Fourth Proportional to 269,863.20, 404,449.20 and 207,223.20

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Solution

The fourth proportional to 269,863.20, 404,449.20 and 207,223.20 is: 310,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,863.20 : 404,449.20 = 207,223.20 : x
  2. Step 2: Convert to fraction form
    269,863.20/404,449.20 = 207,223.20/x
  3. Step 3: Cross multiply
    269,863.20x = 404,449.20 × 207,223.20
  4. Step 4: Simplify right side
    269,863.20x = 83,811,257,461.44
  5. Step 5: Solve for x
    x = 83,811,257,461.44/269,863.20
  6. Step 6: Final answer
    x = 310,569.42

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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.