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Finding the Fourth Proportional to 400,249.20, 552,348.24 and 218,957.24

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Solution

The fourth proportional to 400,249.20, 552,348.24 and 218,957.24 is: 302,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,249.20 : 552,348.24 = 218,957.24 : x
  2. Step 2: Convert to fraction form
    400,249.20/552,348.24 = 218,957.24/x
  3. Step 3: Cross multiply
    400,249.20x = 552,348.24 × 218,957.24
  4. Step 4: Simplify right side
    400,249.20x = 120,940,646,149.26
  5. Step 5: Solve for x
    x = 120,940,646,149.26/400,249.20
  6. Step 6: Final answer
    x = 302,163.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.