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Finding the Fourth Proportional to 512,849.44, 769,306.98 and 197,306.38

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Solution

The fourth proportional to 512,849.44, 769,306.98 and 197,306.38 is: 295,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,849.44 : 769,306.98 = 197,306.38 : x
  2. Step 2: Convert to fraction form
    512,849.44/769,306.98 = 197,306.38/x
  3. Step 3: Cross multiply
    512,849.44x = 769,306.98 × 197,306.38
  4. Step 4: Simplify right side
    512,849.44x = 151,789,175,332.53
  5. Step 5: Solve for x
    x = 151,789,175,332.53/512,849.44
  6. Step 6: Final answer
    x = 295,972.20

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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.