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Finding the Fourth Proportional to 407,797.29, 611,359.17 and 179,930.69

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Solution

The fourth proportional to 407,797.29, 611,359.17 and 179,930.69 is: 269,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,797.29 : 611,359.17 = 179,930.69 : x
  2. Step 2: Convert to fraction form
    407,797.29/611,359.17 = 179,930.69/x
  3. Step 3: Cross multiply
    407,797.29x = 611,359.17 × 179,930.69
  4. Step 4: Simplify right side
    407,797.29x = 110,002,274,239.13
  5. Step 5: Solve for x
    x = 110,002,274,239.13/407,797.29
  6. Step 6: Final answer
    x = 269,747.44

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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.