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Finding the Fourth Proportional to 269,315.20, 403,627.20 and 206,675.20

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Solution

The fourth proportional to 269,315.20, 403,627.20 and 206,675.20 is: 309,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,315.20 : 403,627.20 = 206,675.20 : x
  2. Step 2: Convert to fraction form
    269,315.20/403,627.20 = 206,675.20/x
  3. Step 3: Cross multiply
    269,315.20x = 403,627.20 × 206,675.20
  4. Step 4: Simplify right side
    269,315.20x = 83,419,732,285.44
  5. Step 5: Solve for x
    x = 83,419,732,285.44/269,315.20
  6. Step 6: Final answer
    x = 309,747.58

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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.