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Finding the Fourth Proportional to 327,907.89, 491,979.29 and 114,734.34

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Solution

The fourth proportional to 327,907.89, 491,979.29 and 114,734.34 is: 172,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,907.89 : 491,979.29 = 114,734.34 : x
  2. Step 2: Convert to fraction form
    327,907.89/491,979.29 = 114,734.34/x
  3. Step 3: Cross multiply
    327,907.89x = 491,979.29 × 114,734.34
  4. Step 4: Simplify right side
    327,907.89x = 56,446,918,558.15
  5. Step 5: Solve for x
    x = 56,446,918,558.15/327,907.89
  6. Step 6: Final answer
    x = 172,142.61

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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.