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Finding the Fourth Proportional to 416,228.23, 574,394.95 and 225,241.62

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Solution

The fourth proportional to 416,228.23, 574,394.95 and 225,241.62 is: 310,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,228.23 : 574,394.95 = 225,241.62 : x
  2. Step 2: Convert to fraction form
    416,228.23/574,394.95 = 225,241.62/x
  3. Step 3: Cross multiply
    416,228.23x = 574,394.95 × 225,241.62
  4. Step 4: Simplify right side
    416,228.23x = 129,377,645,918.41
  5. Step 5: Solve for x
    x = 129,377,645,918.41/416,228.23
  6. Step 6: Final answer
    x = 310,833.43

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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.