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Finding the Fourth Proportional to 512,055.87, 768,182.90 and 196,488.24

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Solution

The fourth proportional to 512,055.87, 768,182.90 and 196,488.24 is: 294,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,055.87 : 768,182.90 = 196,488.24 : x
  2. Step 2: Convert to fraction form
    512,055.87/768,182.90 = 196,488.24/x
  3. Step 3: Cross multiply
    512,055.87x = 768,182.90 × 196,488.24
  4. Step 4: Simplify right side
    512,055.87x = 150,938,906,510.32
  5. Step 5: Solve for x
    x = 150,938,906,510.32/512,055.87
  6. Step 6: Final answer
    x = 294,770.39

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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.