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Finding the Fourth Proportional to 321,198.11, 443,052.69 and 206,625.94

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Solution

The fourth proportional to 321,198.11, 443,052.69 and 206,625.94 is: 285,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,198.11 : 443,052.69 = 206,625.94 : x
  2. Step 2: Convert to fraction form
    321,198.11/443,052.69 = 206,625.94/x
  3. Step 3: Cross multiply
    321,198.11x = 443,052.69 × 206,625.94
  4. Step 4: Simplify right side
    321,198.11x = 91,546,176,658.30
  5. Step 5: Solve for x
    x = 91,546,176,658.30/321,198.11
  6. Step 6: Final answer
    x = 285,014.68

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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.