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Finding the Fourth Proportional to 416,408.87, 574,644.12 and 225,422.12

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Solution

The fourth proportional to 416,408.87, 574,644.12 and 225,422.12 is: 311,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.87 : 574,644.12 = 225,422.12 : x
  2. Step 2: Convert to fraction form
    416,408.87/574,644.12 = 225,422.12/x
  3. Step 3: Cross multiply
    416,408.87x = 574,644.12 × 225,422.12
  4. Step 4: Simplify right side
    416,408.87x = 129,537,495,775.93
  5. Step 5: Solve for x
    x = 129,537,495,775.93/416,408.87
  6. Step 6: Final answer
    x = 311,082.46

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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.