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Finding the Fourth Proportional to 445,216.24, 667,902.12 and 195,891.76

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Solution

The fourth proportional to 445,216.24, 667,902.12 and 195,891.76 is: 293,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,216.24 : 667,902.12 = 195,891.76 : x
  2. Step 2: Convert to fraction form
    445,216.24/667,902.12 = 195,891.76/x
  3. Step 3: Cross multiply
    445,216.24x = 667,902.12 × 195,891.76
  4. Step 4: Simplify right side
    445,216.24x = 130,836,521,794.53
  5. Step 5: Solve for x
    x = 130,836,521,794.53/445,216.24
  6. Step 6: Final answer
    x = 293,871.85

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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.