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Finding the Fourth Proportional to 416,161.98, 574,299.45 and 225,171.18

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Solution

The fourth proportional to 416,161.98, 574,299.45 and 225,171.18 is: 310,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,161.98 : 574,299.45 = 225,171.18 : x
  2. Step 2: Convert to fraction form
    416,161.98/574,299.45 = 225,171.18/x
  3. Step 3: Cross multiply
    416,161.98x = 574,299.45 × 225,171.18
  4. Step 4: Simplify right side
    416,161.98x = 129,315,684,829.85
  5. Step 5: Solve for x
    x = 129,315,684,829.85/416,161.98
  6. Step 6: Final answer
    x = 310,734.02

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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.