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Finding the Fourth Proportional to 296,771.38, 409,539.11 and 167,707.06

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Solution

The fourth proportional to 296,771.38, 409,539.11 and 167,707.06 is: 231,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,771.38 : 409,539.11 = 167,707.06 : x
  2. Step 2: Convert to fraction form
    296,771.38/409,539.11 = 167,707.06/x
  3. Step 3: Cross multiply
    296,771.38x = 409,539.11 × 167,707.06
  4. Step 4: Simplify right side
    296,771.38x = 68,682,598,230.73
  5. Step 5: Solve for x
    x = 68,682,598,230.73/296,771.38
  6. Step 6: Final answer
    x = 231,432.69

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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.