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Finding the Fourth Proportional to 463,321.56, 694,759.72 and 196,937.68

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Solution

The fourth proportional to 463,321.56, 694,759.72 and 196,937.68 is: 295,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,321.56 : 694,759.72 = 196,937.68 : x
  2. Step 2: Convert to fraction form
    463,321.56/694,759.72 = 196,937.68/x
  3. Step 3: Cross multiply
    463,321.56x = 694,759.72 × 196,937.68
  4. Step 4: Simplify right side
    463,321.56x = 136,824,367,414.25
  5. Step 5: Solve for x
    x = 136,824,367,414.25/463,321.56
  6. Step 6: Final answer
    x = 295,311.89

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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.