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Finding the Fourth Proportional to 496,379.87, 743,915.50 and 196,696.97

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Solution

The fourth proportional to 496,379.87, 743,915.50 and 196,696.97 is: 294,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,379.87 : 743,915.50 = 196,696.97 : x
  2. Step 2: Convert to fraction form
    496,379.87/743,915.50 = 196,696.97/x
  3. Step 3: Cross multiply
    496,379.87x = 743,915.50 × 196,696.97
  4. Step 4: Simplify right side
    496,379.87x = 146,325,920,574.72
  5. Step 5: Solve for x
    x = 146,325,920,574.72/496,379.87
  6. Step 6: Final answer
    x = 294,786.17

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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.