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Finding the Fourth Proportional to 269,482.53, 404,223.80 and 82,469.73

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Solution

The fourth proportional to 269,482.53, 404,223.80 and 82,469.73 is: 123,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,482.53 : 404,223.80 = 82,469.73 : x
  2. Step 2: Convert to fraction form
    269,482.53/404,223.80 = 82,469.73/x
  3. Step 3: Cross multiply
    269,482.53x = 404,223.80 × 82,469.73
  4. Step 4: Simplify right side
    269,482.53x = 33,336,227,233.23
  5. Step 5: Solve for x
    x = 33,336,227,233.23/269,482.53
  6. Step 6: Final answer
    x = 123,704.60

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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.