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Finding the Fourth Proportional to 498,568.34, 747,853.73 and 199,073.27

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Solution

The fourth proportional to 498,568.34, 747,853.73 and 199,073.27 is: 298,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,568.34 : 747,853.73 = 199,073.27 : x
  2. Step 2: Convert to fraction form
    498,568.34/747,853.73 = 199,073.27/x
  3. Step 3: Cross multiply
    498,568.34x = 747,853.73 × 199,073.27
  4. Step 4: Simplify right side
    498,568.34x = 148,877,687,512.80
  5. Step 5: Solve for x
    x = 148,877,687,512.80/498,568.34
  6. Step 6: Final answer
    x = 298,610.39

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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.