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Finding the Fourth Proportional to 296,781.28, 409,578.26 and 167,674.97

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Solution

The fourth proportional to 296,781.28, 409,578.26 and 167,674.97 is: 231,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,781.28 : 409,578.26 = 167,674.97 : x
  2. Step 2: Convert to fraction form
    296,781.28/409,578.26 = 167,674.97/x
  3. Step 3: Cross multiply
    296,781.28x = 409,578.26 × 167,674.97
  4. Step 4: Simplify right side
    296,781.28x = 68,676,022,643.72
  5. Step 5: Solve for x
    x = 68,676,022,643.72/296,781.28
  6. Step 6: Final answer
    x = 231,402.81

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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.