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Finding the Fourth Proportional to 269,179.20, 403,423.20 and 206,539.20

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Solution

The fourth proportional to 269,179.20, 403,423.20 and 206,539.20 is: 309,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,179.20 : 403,423.20 = 206,539.20 : x
  2. Step 2: Convert to fraction form
    269,179.20/403,423.20 = 206,539.20/x
  3. Step 3: Cross multiply
    269,179.20x = 403,423.20 × 206,539.20
  4. Step 4: Simplify right side
    269,179.20x = 83,322,704,989.44
  5. Step 5: Solve for x
    x = 83,322,704,989.44/269,179.20
  6. Step 6: Final answer
    x = 309,543.62

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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.