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Finding the Fourth Proportional to 498,568.67, 747,854.22 and 199,073.60

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Solution

The fourth proportional to 498,568.67, 747,854.22 and 199,073.60 is: 298,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,568.67 : 747,854.22 = 199,073.60 : x
  2. Step 2: Convert to fraction form
    498,568.67/747,854.22 = 199,073.60/x
  3. Step 3: Cross multiply
    498,568.67x = 747,854.22 × 199,073.60
  4. Step 4: Simplify right side
    498,568.67x = 148,878,031,850.59
  5. Step 5: Solve for x
    x = 148,878,031,850.59/498,568.67
  6. Step 6: Final answer
    x = 298,610.89

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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.