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Finding the Fourth Proportional to 303,640.24, 419,026.86 and 167,674

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Solution

The fourth proportional to 303,640.24, 419,026.86 and 167,674 is: 231,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,640.24 : 419,026.86 = 167,674 : x
  2. Step 2: Convert to fraction form
    303,640.24/419,026.86 = 167,674/x
  3. Step 3: Cross multiply
    303,640.24x = 419,026.86 × 167,674
  4. Step 4: Simplify right side
    303,640.24x = 70,259,909,723.64
  5. Step 5: Solve for x
    x = 70,259,909,723.64/303,640.24
  6. Step 6: Final answer
    x = 231,391.96

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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.