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Finding the Fourth Proportional to 198,344, 297,516 and 50,600

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Solution

The fourth proportional to 198,344, 297,516 and 50,600 is: 75,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,344 : 297,516 = 50,600 : x
  2. Step 2: Convert to fraction form
    198,344/297,516 = 50,600/x
  3. Step 3: Cross multiply
    198,344x = 297,516 × 50,600
  4. Step 4: Simplify right side
    198,344x = 15,054,309,600
  5. Step 5: Solve for x
    x = 15,054,309,600/198,344
  6. Step 6: Final answer
    x = 75,900

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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.