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Finding the Fourth Proportional to 5,189,306.78, 7,784,704.50 and 1,595,375.53

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Solution

The fourth proportional to 5,189,306.78, 7,784,704.50 and 1,595,375.53 is: 2,393,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,306.78 : 7,784,704.50 = 1,595,375.53 : x
  2. Step 2: Convert to fraction form
    5,189,306.78/7,784,704.50 = 1,595,375.53/x
  3. Step 3: Cross multiply
    5,189,306.78x = 7,784,704.50 × 1,595,375.53
  4. Step 4: Simplify right side
    5,189,306.78x = 12,419,527,042,136.47
  5. Step 5: Solve for x
    x = 12,419,527,042,136.47/5,189,306.78
  6. Step 6: Final answer
    x = 2,393,292.12

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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.