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Finding the Fourth Proportional to 496,672.65, 744,736.82 and 196,849.53

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Solution

The fourth proportional to 496,672.65, 744,736.82 and 196,849.53 is: 295,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,672.65 : 744,736.82 = 196,849.53 : x
  2. Step 2: Convert to fraction form
    496,672.65/744,736.82 = 196,849.53/x
  3. Step 3: Cross multiply
    496,672.65x = 744,736.82 × 196,849.53
  4. Step 4: Simplify right side
    496,672.65x = 146,601,092,006.45
  5. Step 5: Solve for x
    x = 146,601,092,006.45/496,672.65
  6. Step 6: Final answer
    x = 295,166.43

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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.