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Finding the Fourth Proportional to 462,398.67, 693,991.67 and 182,112.75

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Solution

The fourth proportional to 462,398.67, 693,991.67 and 182,112.75 is: 273,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,398.67 : 693,991.67 = 182,112.75 : x
  2. Step 2: Convert to fraction form
    462,398.67/693,991.67 = 182,112.75/x
  3. Step 3: Cross multiply
    462,398.67x = 693,991.67 × 182,112.75
  4. Step 4: Simplify right side
    462,398.67x = 126,384,731,500.79
  5. Step 5: Solve for x
    x = 126,384,731,500.79/462,398.67
  6. Step 6: Final answer
    x = 273,324.17

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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.