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Finding the Fourth Proportional to 463,479.96, 694,658.52 and 196,680

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Solution

The fourth proportional to 463,479.96, 694,658.52 and 196,680 is: 294,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,479.96 : 694,658.52 = 196,680 : x
  2. Step 2: Convert to fraction form
    463,479.96/694,658.52 = 196,680/x
  3. Step 3: Cross multiply
    463,479.96x = 694,658.52 × 196,680
  4. Step 4: Simplify right side
    463,479.96x = 136,625,437,713.60
  5. Step 5: Solve for x
    x = 136,625,437,713.60/463,479.96
  6. Step 6: Final answer
    x = 294,781.76

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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.