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Finding the Fourth Proportional to 512,234.20, 768,351.30 and 196,698.70

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Solution

The fourth proportional to 512,234.20, 768,351.30 and 196,698.70 is: 295,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,234.20 : 768,351.30 = 196,698.70 : x
  2. Step 2: Convert to fraction form
    512,234.20/768,351.30 = 196,698.70/x
  3. Step 3: Cross multiply
    512,234.20x = 768,351.30 × 196,698.70
  4. Step 4: Simplify right side
    512,234.20x = 151,133,701,853.31
  5. Step 5: Solve for x
    x = 151,133,701,853.31/512,234.20
  6. Step 6: Final answer
    x = 295,048.05

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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.