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Finding the Fourth Proportional to 198,324.25, 297,486.38 and 50,580.25

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Solution

The fourth proportional to 198,324.25, 297,486.38 and 50,580.25 is: 75,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,324.25 : 297,486.38 = 50,580.25 : x
  2. Step 2: Convert to fraction form
    198,324.25/297,486.38 = 50,580.25/x
  3. Step 3: Cross multiply
    198,324.25x = 297,486.38 × 50,580.25
  4. Step 4: Simplify right side
    198,324.25x = 15,046,935,472.00
  5. Step 5: Solve for x
    x = 15,046,935,472.00/198,324.25
  6. Step 6: Final answer
    x = 75,870.38

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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.