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Finding the Fourth Proportional to 299,773.06, 449,971.02 and 200,626.09

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Solution

The fourth proportional to 299,773.06, 449,971.02 and 200,626.09 is: 301,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,773.06 : 449,971.02 = 200,626.09 : x
  2. Step 2: Convert to fraction form
    299,773.06/449,971.02 = 200,626.09/x
  3. Step 3: Cross multiply
    299,773.06x = 449,971.02 × 200,626.09
  4. Step 4: Simplify right side
    299,773.06x = 90,275,926,355.91
  5. Step 5: Solve for x
    x = 90,275,926,355.91/299,773.06
  6. Step 6: Final answer
    x = 301,147.56

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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.