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Finding the Fourth Proportional to 465,651.33, 697,892.92 and 199,098.96

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Solution

The fourth proportional to 465,651.33, 697,892.92 and 199,098.96 is: 298,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,651.33 : 697,892.92 = 199,098.96 : x
  2. Step 2: Convert to fraction form
    465,651.33/697,892.92 = 199,098.96/x
  3. Step 3: Cross multiply
    465,651.33x = 697,892.92 × 199,098.96
  4. Step 4: Simplify right side
    465,651.33x = 138,949,754,563.36
  5. Step 5: Solve for x
    x = 138,949,754,563.36/465,651.33
  6. Step 6: Final answer
    x = 298,398.71

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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.