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Finding the Fourth Proportional to 342,494.42, 513,589.75 and 182,540.54

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Solution

The fourth proportional to 342,494.42, 513,589.75 and 182,540.54 is: 273,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,494.42 : 513,589.75 = 182,540.54 : x
  2. Step 2: Convert to fraction form
    342,494.42/513,589.75 = 182,540.54/x
  3. Step 3: Cross multiply
    342,494.42x = 513,589.75 × 182,540.54
  4. Step 4: Simplify right side
    342,494.42x = 93,750,951,131.09
  5. Step 5: Solve for x
    x = 93,750,951,131.09/342,494.42
  6. Step 6: Final answer
    x = 273,729.87

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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.