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Finding the Fourth Proportional to 486,593.16, 729,910.02 and 166,964.78

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Solution

The fourth proportional to 486,593.16, 729,910.02 and 166,964.78 is: 250,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,593.16 : 729,910.02 = 166,964.78 : x
  2. Step 2: Convert to fraction form
    486,593.16/729,910.02 = 166,964.78/x
  3. Step 3: Cross multiply
    486,593.16x = 729,910.02 × 166,964.78
  4. Step 4: Simplify right side
    486,593.16x = 121,869,265,074.27
  5. Step 5: Solve for x
    x = 121,869,265,074.27/486,593.16
  6. Step 6: Final answer
    x = 250,454.13

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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.