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Finding the Fourth Proportional to 416,431.85, 574,675.24 and 225,445.19

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Solution

The fourth proportional to 416,431.85, 574,675.24 and 225,445.19 is: 311,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,431.85 : 574,675.24 = 225,445.19 : x
  2. Step 2: Convert to fraction form
    416,431.85/574,675.24 = 225,445.19/x
  3. Step 3: Cross multiply
    416,431.85x = 574,675.24 × 225,445.19
  4. Step 4: Simplify right side
    416,431.85x = 129,557,767,542.87
  5. Step 5: Solve for x
    x = 129,557,767,542.87/416,431.85
  6. Step 6: Final answer
    x = 311,113.97

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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.