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Finding the Fourth Proportional to 496,363.88, 744,099.78 and 196,642.28

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Solution

The fourth proportional to 496,363.88, 744,099.78 and 196,642.28 is: 294,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,363.88 : 744,099.78 = 196,642.28 : x
  2. Step 2: Convert to fraction form
    496,363.88/744,099.78 = 196,642.28/x
  3. Step 3: Cross multiply
    496,363.88x = 744,099.78 × 196,642.28
  4. Step 4: Simplify right side
    496,363.88x = 146,321,477,286.70
  5. Step 5: Solve for x
    x = 146,321,477,286.70/496,363.88
  6. Step 6: Final answer
    x = 294,786.71

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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.