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Finding the Fourth Proportional to 416,429.10, 574,671.44 and 225,442.44

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Solution

The fourth proportional to 416,429.10, 574,671.44 and 225,442.44 is: 311,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,429.10 : 574,671.44 = 225,442.44 : x
  2. Step 2: Convert to fraction form
    416,429.10/574,671.44 = 225,442.44/x
  3. Step 3: Cross multiply
    416,429.10x = 574,671.44 × 225,442.44
  4. Step 4: Simplify right side
    416,429.10x = 129,555,332,195.52
  5. Step 5: Solve for x
    x = 129,555,332,195.52/416,429.10
  6. Step 6: Final answer
    x = 311,110.18

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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.