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Finding the Fourth Proportional to 296,996.60, 409,850.34 and 167,933

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Solution

The fourth proportional to 296,996.60, 409,850.34 and 167,933 is: 231,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,996.60 : 409,850.34 = 167,933 : x
  2. Step 2: Convert to fraction form
    296,996.60/409,850.34 = 167,933/x
  3. Step 3: Cross multiply
    296,996.60x = 409,850.34 × 167,933
  4. Step 4: Simplify right side
    296,996.60x = 68,827,397,147.22
  5. Step 5: Solve for x
    x = 68,827,397,147.22/296,996.60
  6. Step 6: Final answer
    x = 231,744.73

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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.