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Finding the Fourth Proportional to 297,833.26, 446,805.22 and 98,167.66

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Solution

The fourth proportional to 297,833.26, 446,805.22 and 98,167.66 is: 147,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,833.26 : 446,805.22 = 98,167.66 : x
  2. Step 2: Convert to fraction form
    297,833.26/446,805.22 = 98,167.66/x
  3. Step 3: Cross multiply
    297,833.26x = 446,805.22 × 98,167.66
  4. Step 4: Simplify right side
    297,833.26x = 43,861,822,923.19
  5. Step 5: Solve for x
    x = 43,861,822,923.19/297,833.26
  6. Step 6: Final answer
    x = 147,269.73

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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.