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Finding the Fourth Proportional to 400,113.44, 552,136.16 and 218,790.24

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Solution

The fourth proportional to 400,113.44, 552,136.16 and 218,790.24 is: 301,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,113.44 : 552,136.16 = 218,790.24 : x
  2. Step 2: Convert to fraction form
    400,113.44/552,136.16 = 218,790.24/x
  3. Step 3: Cross multiply
    400,113.44x = 552,136.16 × 218,790.24
  4. Step 4: Simplify right side
    400,113.44x = 120,802,002,959.08
  5. Step 5: Solve for x
    x = 120,802,002,959.08/400,113.44
  6. Step 6: Final answer
    x = 301,919.38

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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.