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Finding the Fourth Proportional to 445,114.56, 667,205.28 and 164,452.80

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Solution

The fourth proportional to 445,114.56, 667,205.28 and 164,452.80 is: 246,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,114.56 : 667,205.28 = 164,452.80 : x
  2. Step 2: Convert to fraction form
    445,114.56/667,205.28 = 164,452.80/x
  3. Step 3: Cross multiply
    445,114.56x = 667,205.28 × 164,452.80
  4. Step 4: Simplify right side
    445,114.56x = 109,723,776,470.78
  5. Step 5: Solve for x
    x = 109,723,776,470.78/445,114.56
  6. Step 6: Final answer
    x = 246,506.82

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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.