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Finding the Fourth Proportional to 462,736.80, 694,105.20 and 213,418.80

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Solution

The fourth proportional to 462,736.80, 694,105.20 and 213,418.80 is: 320,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,736.80 : 694,105.20 = 213,418.80 : x
  2. Step 2: Convert to fraction form
    462,736.80/694,105.20 = 213,418.80/x
  3. Step 3: Cross multiply
    462,736.80x = 694,105.20 × 213,418.80
  4. Step 4: Simplify right side
    462,736.80x = 148,135,098,857.76
  5. Step 5: Solve for x
    x = 148,135,098,857.76/462,736.80
  6. Step 6: Final answer
    x = 320,128.20

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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.