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Finding the Fourth Proportional to 198,322.75, 297,484.13 and 50,578.75

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Solution

The fourth proportional to 198,322.75, 297,484.13 and 50,578.75 is: 75,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,322.75 : 297,484.13 = 50,578.75 : x
  2. Step 2: Convert to fraction form
    198,322.75/297,484.13 = 50,578.75/x
  3. Step 3: Cross multiply
    198,322.75x = 297,484.13 × 50,578.75
  4. Step 4: Simplify right side
    198,322.75x = 15,046,375,440.24
  5. Step 5: Solve for x
    x = 15,046,375,440.24/198,322.75
  6. Step 6: Final answer
    x = 75,868.13

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1.5x scale

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.