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Finding the Fourth Proportional to 416,405.04, 574,640.79 and 225,418.43

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Solution

The fourth proportional to 416,405.04, 574,640.79 and 225,418.43 is: 311,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,405.04 : 574,640.79 = 225,418.43 : x
  2. Step 2: Convert to fraction form
    416,405.04/574,640.79 = 225,418.43/x
  3. Step 3: Cross multiply
    416,405.04x = 574,640.79 × 225,418.43
  4. Step 4: Simplify right side
    416,405.04x = 129,534,621,822.56
  5. Step 5: Solve for x
    x = 129,534,621,822.56/416,405.04
  6. Step 6: Final answer
    x = 311,078.42

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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.