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Finding the Fourth Proportional to 412,781.20, 569,396.18 and 259,576.38

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Solution

The fourth proportional to 412,781.20, 569,396.18 and 259,576.38 is: 358,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,781.20 : 569,396.18 = 259,576.38 : x
  2. Step 2: Convert to fraction form
    412,781.20/569,396.18 = 259,576.38/x
  3. Step 3: Cross multiply
    412,781.20x = 569,396.18 × 259,576.38
  4. Step 4: Simplify right side
    412,781.20x = 147,801,799,839.17
  5. Step 5: Solve for x
    x = 147,801,799,839.17/412,781.20
  6. Step 6: Final answer
    x = 358,063.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.