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Finding the Fourth Proportional to 269,183.20, 403,429.20 and 206,543.20

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Solution

The fourth proportional to 269,183.20, 403,429.20 and 206,543.20 is: 309,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,183.20 : 403,429.20 = 206,543.20 : x
  2. Step 2: Convert to fraction form
    269,183.20/403,429.20 = 206,543.20/x
  3. Step 3: Cross multiply
    269,183.20x = 403,429.20 × 206,543.20
  4. Step 4: Simplify right side
    269,183.20x = 83,325,557,941.44
  5. Step 5: Solve for x
    x = 83,325,557,941.44/269,183.20
  6. Step 6: Final answer
    x = 309,549.62

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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.