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Finding the Fourth Proportional to 300,517.32, 450,789.82 and 167,297.24

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Solution

The fourth proportional to 300,517.32, 450,789.82 and 167,297.24 is: 250,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,517.32 : 450,789.82 = 167,297.24 : x
  2. Step 2: Convert to fraction form
    300,517.32/450,789.82 = 167,297.24/x
  3. Step 3: Cross multiply
    300,517.32x = 450,789.82 × 167,297.24
  4. Step 4: Simplify right side
    300,517.32x = 75,415,890,480.47
  5. Step 5: Solve for x
    x = 75,415,890,480.47/300,517.32
  6. Step 6: Final answer
    x = 250,953.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.