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Finding the Fourth Proportional to 463,468.26, 694,640.99 and 196,668.30

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Solution

The fourth proportional to 463,468.26, 694,640.99 and 196,668.30 is: 294,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,468.26 : 694,640.99 = 196,668.30 : x
  2. Step 2: Convert to fraction form
    463,468.26/694,640.99 = 196,668.30/x
  3. Step 3: Cross multiply
    463,468.26x = 694,640.99 × 196,668.30
  4. Step 4: Simplify right side
    463,468.26x = 136,613,863,105.29
  5. Step 5: Solve for x
    x = 136,613,863,105.29/463,468.26
  6. Step 6: Final answer
    x = 294,764.23

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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.