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Finding the Fourth Proportional to 296,789.22, 409,589.16 and 167,682.90

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Solution

The fourth proportional to 296,789.22, 409,589.16 and 167,682.90 is: 231,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,789.22 : 409,589.16 = 167,682.90 : x
  2. Step 2: Convert to fraction form
    296,789.22/409,589.16 = 167,682.90/x
  3. Step 3: Cross multiply
    296,789.22x = 409,589.16 × 167,682.90
  4. Step 4: Simplify right side
    296,789.22x = 68,681,098,157.36
  5. Step 5: Solve for x
    x = 68,681,098,157.36/296,789.22
  6. Step 6: Final answer
    x = 231,413.72

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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.