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Finding the Fourth Proportional to 512,233.70, 768,350.55 and 196,698.20

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Solution

The fourth proportional to 512,233.70, 768,350.55 and 196,698.20 is: 295,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,233.70 : 768,350.55 = 196,698.20 : x
  2. Step 2: Convert to fraction form
    512,233.70/768,350.55 = 196,698.20/x
  3. Step 3: Cross multiply
    512,233.70x = 768,350.55 × 196,698.20
  4. Step 4: Simplify right side
    512,233.70x = 151,133,170,154.01
  5. Step 5: Solve for x
    x = 151,133,170,154.01/512,233.70
  6. Step 6: Final answer
    x = 295,047.30

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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.