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Finding the Fourth Proportional to 322,380.80, 444,926.41 and 195,057.44

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Solution

The fourth proportional to 322,380.80, 444,926.41 and 195,057.44 is: 269,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,380.80 : 444,926.41 = 195,057.44 : x
  2. Step 2: Convert to fraction form
    322,380.80/444,926.41 = 195,057.44/x
  3. Step 3: Cross multiply
    322,380.80x = 444,926.41 × 195,057.44
  4. Step 4: Simplify right side
    322,380.80x = 86,786,206,522.99
  5. Step 5: Solve for x
    x = 86,786,206,522.99/322,380.80
  6. Step 6: Final answer
    x = 269,204.02

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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.