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Finding the Fourth Proportional to 533,694.16, 800,319.78 and 196,753.98

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Solution

The fourth proportional to 533,694.16, 800,319.78 and 196,753.98 is: 295,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,694.16 : 800,319.78 = 196,753.98 : x
  2. Step 2: Convert to fraction form
    533,694.16/800,319.78 = 196,753.98/x
  3. Step 3: Cross multiply
    533,694.16x = 800,319.78 × 196,753.98
  4. Step 4: Simplify right side
    533,694.16x = 157,466,101,987.72
  5. Step 5: Solve for x
    x = 157,466,101,987.72/533,694.16
  6. Step 6: Final answer
    x = 295,049.33

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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.