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Finding the Fourth Proportional to 303,641.24, 419,028.24 and 167,675

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Solution

The fourth proportional to 303,641.24, 419,028.24 and 167,675 is: 231,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,641.24 : 419,028.24 = 167,675 : x
  2. Step 2: Convert to fraction form
    303,641.24/419,028.24 = 167,675/x
  3. Step 3: Cross multiply
    303,641.24x = 419,028.24 × 167,675
  4. Step 4: Simplify right side
    303,641.24x = 70,260,560,142
  5. Step 5: Solve for x
    x = 70,260,560,142/303,641.24
  6. Step 6: Final answer
    x = 231,393.34

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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.