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Finding the Fourth Proportional to 512,294.37, 768,478.46 and 196,751.27

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Solution

The fourth proportional to 512,294.37, 768,478.46 and 196,751.27 is: 295,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,294.37 : 768,478.46 = 196,751.27 : x
  2. Step 2: Convert to fraction form
    512,294.37/768,478.46 = 196,751.27/x
  3. Step 3: Cross multiply
    512,294.37x = 768,478.46 × 196,751.27
  4. Step 4: Simplify right side
    512,294.37x = 151,199,113,910.08
  5. Step 5: Solve for x
    x = 151,199,113,910.08/512,294.37
  6. Step 6: Final answer
    x = 295,141.08

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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.