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Finding the Fourth Proportional to 463,100.80, 694,651.20 and 163,919.20

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Solution

The fourth proportional to 463,100.80, 694,651.20 and 163,919.20 is: 245,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,100.80 : 694,651.20 = 163,919.20 : x
  2. Step 2: Convert to fraction form
    463,100.80/694,651.20 = 163,919.20/x
  3. Step 3: Cross multiply
    463,100.80x = 694,651.20 × 163,919.20
  4. Step 4: Simplify right side
    463,100.80x = 113,866,668,983.04
  5. Step 5: Solve for x
    x = 113,866,668,983.04/463,100.80
  6. Step 6: Final answer
    x = 245,878.80

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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.