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Finding the Fourth Proportional to 416,228.25, 574,394.99 and 225,241.64

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Solution

The fourth proportional to 416,228.25, 574,394.99 and 225,241.64 is: 310,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,228.25 : 574,394.99 = 225,241.64 : x
  2. Step 2: Convert to fraction form
    416,228.25/574,394.99 = 225,241.64/x
  3. Step 3: Cross multiply
    416,228.25x = 574,394.99 × 225,241.64
  4. Step 4: Simplify right side
    416,228.25x = 129,377,669,555.38
  5. Step 5: Solve for x
    x = 129,377,669,555.38/416,228.25
  6. Step 6: Final answer
    x = 310,833.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.