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Finding the Fourth Proportional to 511,976.46, 768,063.56 and 196,408.74

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Solution

The fourth proportional to 511,976.46, 768,063.56 and 196,408.74 is: 294,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,976.46 : 768,063.56 = 196,408.74 : x
  2. Step 2: Convert to fraction form
    511,976.46/768,063.56 = 196,408.74/x
  3. Step 3: Cross multiply
    511,976.46x = 768,063.56 × 196,408.74
  4. Step 4: Simplify right side
    511,976.46x = 150,854,395,077.47
  5. Step 5: Solve for x
    x = 150,854,395,077.47/511,976.46
  6. Step 6: Final answer
    x = 294,651.04

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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.