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Finding the Fourth Proportional to 512,401.20, 768,601.80 and 196,865.70

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Solution

The fourth proportional to 512,401.20, 768,601.80 and 196,865.70 is: 295,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,401.20 : 768,601.80 = 196,865.70 : x
  2. Step 2: Convert to fraction form
    512,401.20/768,601.80 = 196,865.70/x
  3. Step 3: Cross multiply
    512,401.20x = 768,601.80 × 196,865.70
  4. Step 4: Simplify right side
    512,401.20x = 151,311,331,378.26
  5. Step 5: Solve for x
    x = 151,311,331,378.26/512,401.20
  6. Step 6: Final answer
    x = 295,298.55

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Similar ratio
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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.