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Finding the Fourth Proportional to 303,847.24, 419,301.30 and 167,891.08

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Solution

The fourth proportional to 303,847.24, 419,301.30 and 167,891.08 is: 231,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,847.24 : 419,301.30 = 167,891.08 : x
  2. Step 2: Convert to fraction form
    303,847.24/419,301.30 = 167,891.08/x
  3. Step 3: Cross multiply
    303,847.24x = 419,301.30 × 167,891.08
  4. Step 4: Simplify right side
    303,847.24x = 70,396,948,102.40
  5. Step 5: Solve for x
    x = 70,396,948,102.40/303,847.24
  6. Step 6: Final answer
    x = 231,685.33

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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.