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Finding the Fourth Proportional to 285,771.44, 428,704.55 and 96,247.85

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Solution

The fourth proportional to 285,771.44, 428,704.55 and 96,247.85 is: 144,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,771.44 : 428,704.55 = 96,247.85 : x
  2. Step 2: Convert to fraction form
    285,771.44/428,704.55 = 96,247.85/x
  3. Step 3: Cross multiply
    285,771.44x = 428,704.55 × 96,247.85
  4. Step 4: Simplify right side
    285,771.44x = 41,261,888,958.89
  5. Step 5: Solve for x
    x = 41,261,888,958.89/285,771.44
  6. Step 6: Final answer
    x = 144,387.73

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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.