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Finding the Fourth Proportional to 512,180.38, 768,213.06 and 196,415.74

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Solution

The fourth proportional to 512,180.38, 768,213.06 and 196,415.74 is: 294,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,180.38 : 768,213.06 = 196,415.74 : x
  2. Step 2: Convert to fraction form
    512,180.38/768,213.06 = 196,415.74/x
  3. Step 3: Cross multiply
    512,180.38x = 768,213.06 × 196,415.74
  4. Step 4: Simplify right side
    512,180.38x = 150,889,136,657.56
  5. Step 5: Solve for x
    x = 150,889,136,657.56/512,180.38
  6. Step 6: Final answer
    x = 294,601.56

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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.