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Finding the Fourth Proportional to 299,047.10, 446,664.31 and 270,540.27

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Solution

The fourth proportional to 299,047.10, 446,664.31 and 270,540.27 is: 404,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,047.10 : 446,664.31 = 270,540.27 : x
  2. Step 2: Convert to fraction form
    299,047.10/446,664.31 = 270,540.27/x
  3. Step 3: Cross multiply
    299,047.10x = 446,664.31 × 270,540.27
  4. Step 4: Simplify right side
    299,047.10x = 120,840,682,350.41
  5. Step 5: Solve for x
    x = 120,840,682,350.41/299,047.10
  6. Step 6: Final answer
    x = 404,085.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.