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Finding the Fourth Proportional to 444,942.56, 667,408.28 and 107,986

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Solution

The fourth proportional to 444,942.56, 667,408.28 and 107,986 is: 161,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,942.56 : 667,408.28 = 107,986 : x
  2. Step 2: Convert to fraction form
    444,942.56/667,408.28 = 107,986/x
  3. Step 3: Cross multiply
    444,942.56x = 667,408.28 × 107,986
  4. Step 4: Simplify right side
    444,942.56x = 72,070,750,524.08
  5. Step 5: Solve for x
    x = 72,070,750,524.08/444,942.56
  6. Step 6: Final answer
    x = 161,977.65

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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.