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Finding the Fourth Proportional to 321,974.88, 444,016.08 and 192,893.04

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Solution

The fourth proportional to 321,974.88, 444,016.08 and 192,893.04 is: 266,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,974.88 : 444,016.08 = 192,893.04 : x
  2. Step 2: Convert to fraction form
    321,974.88/444,016.08 = 192,893.04/x
  3. Step 3: Cross multiply
    321,974.88x = 444,016.08 × 192,893.04
  4. Step 4: Simplify right side
    321,974.88x = 85,647,611,480.08
  5. Step 5: Solve for x
    x = 85,647,611,480.08/321,974.88
  6. Step 6: Final answer
    x = 266,007.12

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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.