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Finding the Fourth Proportional to 362,525.20, 543,787.80 and 269,213.20

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Solution

The fourth proportional to 362,525.20, 543,787.80 and 269,213.20 is: 403,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,525.20 : 543,787.80 = 269,213.20 : x
  2. Step 2: Convert to fraction form
    362,525.20/543,787.80 = 269,213.20/x
  3. Step 3: Cross multiply
    362,525.20x = 543,787.80 × 269,213.20
  4. Step 4: Simplify right side
    362,525.20x = 146,394,853,758.96
  5. Step 5: Solve for x
    x = 146,394,853,758.96/362,525.20
  6. Step 6: Final answer
    x = 403,819.80

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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.