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Finding the Fourth Proportional to 416,020.36, 574,107.60 and 225,033.16

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Solution

The fourth proportional to 416,020.36, 574,107.60 and 225,033.16 is: 310,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,020.36 : 574,107.60 = 225,033.16 : x
  2. Step 2: Convert to fraction form
    416,020.36/574,107.60 = 225,033.16/x
  3. Step 3: Cross multiply
    416,020.36x = 574,107.60 × 225,033.16
  4. Step 4: Simplify right side
    416,020.36x = 129,193,247,408.02
  5. Step 5: Solve for x
    x = 129,193,247,408.02/416,020.36
  6. Step 6: Final answer
    x = 310,545.49

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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.