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Finding the Fourth Proportional to 416,589.46, 574,890.45 and 225,598.42

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Solution

The fourth proportional to 416,589.46, 574,890.45 and 225,598.42 is: 311,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,589.46 : 574,890.45 = 225,598.42 : x
  2. Step 2: Convert to fraction form
    416,589.46/574,890.45 = 225,598.42/x
  3. Step 3: Cross multiply
    416,589.46x = 574,890.45 × 225,598.42
  4. Step 4: Simplify right side
    416,589.46x = 129,694,377,193.09
  5. Step 5: Solve for x
    x = 129,694,377,193.09/416,589.46
  6. Step 6: Final answer
    x = 311,324.19

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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.