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Finding the Fourth Proportional to 327,257.29, 490,941.29 and 167,402.62

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Solution

The fourth proportional to 327,257.29, 490,941.29 and 167,402.62 is: 251,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,257.29 : 490,941.29 = 167,402.62 : x
  2. Step 2: Convert to fraction form
    327,257.29/490,941.29 = 167,402.62/x
  3. Step 3: Cross multiply
    327,257.29x = 490,941.29 × 167,402.62
  4. Step 4: Simplify right side
    327,257.29x = 82,184,858,212.18
  5. Step 5: Solve for x
    x = 82,184,858,212.18/327,257.29
  6. Step 6: Final answer
    x = 251,132.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.