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Finding the Fourth Proportional to 198,342, 297,513 and 50,598

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Solution

The fourth proportional to 198,342, 297,513 and 50,598 is: 75,897

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,342 : 297,513 = 50,598 : x
  2. Step 2: Convert to fraction form
    198,342/297,513 = 50,598/x
  3. Step 3: Cross multiply
    198,342x = 297,513 × 50,598
  4. Step 4: Simplify right side
    198,342x = 15,053,562,774
  5. Step 5: Solve for x
    x = 15,053,562,774/198,342
  6. Step 6: Final answer
    x = 75,897

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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.