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Finding the Fourth Proportional to 327,708.35, 491,562.53 and 187,368.56

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Solution

The fourth proportional to 327,708.35, 491,562.53 and 187,368.56 is: 281,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,708.35 : 491,562.53 = 187,368.56 : x
  2. Step 2: Convert to fraction form
    327,708.35/491,562.53 = 187,368.56/x
  3. Step 3: Cross multiply
    327,708.35x = 491,562.53 × 187,368.56
  4. Step 4: Simplify right side
    327,708.35x = 92,103,364,390.75
  5. Step 5: Solve for x
    x = 92,103,364,390.75/327,708.35
  6. Step 6: Final answer
    x = 281,052.84

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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.