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Finding the Fourth Proportional to 496,687.40, 744,758.94 and 196,864.28

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Solution

The fourth proportional to 496,687.40, 744,758.94 and 196,864.28 is: 295,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,687.40 : 744,758.94 = 196,864.28 : x
  2. Step 2: Convert to fraction form
    496,687.40/744,758.94 = 196,864.28/x
  3. Step 3: Cross multiply
    496,687.40x = 744,758.94 × 196,864.28
  4. Step 4: Simplify right side
    496,687.40x = 146,616,432,496.66
  5. Step 5: Solve for x
    x = 146,616,432,496.66/496,687.40
  6. Step 6: Final answer
    x = 295,188.55

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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.