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Finding the Fourth Proportional to 400,180.96, 552,229.11 and 218,857.60

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Solution

The fourth proportional to 400,180.96, 552,229.11 and 218,857.60 is: 302,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,180.96 : 552,229.11 = 218,857.60 : x
  2. Step 2: Convert to fraction form
    400,180.96/552,229.11 = 218,857.60/x
  3. Step 3: Cross multiply
    400,180.96x = 552,229.11 × 218,857.60
  4. Step 4: Simplify right side
    400,180.96x = 120,859,537,664.74
  5. Step 5: Solve for x
    x = 120,859,537,664.74/400,180.96
  6. Step 6: Final answer
    x = 302,012.21

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