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Finding the Fourth Proportional to 538,932.44, 743,716.67 and 293,920.13

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Solution

The fourth proportional to 538,932.44, 743,716.67 and 293,920.13 is: 405,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,932.44 : 743,716.67 = 293,920.13 : x
  2. Step 2: Convert to fraction form
    538,932.44/743,716.67 = 293,920.13/x
  3. Step 3: Cross multiply
    538,932.44x = 743,716.67 × 293,920.13
  4. Step 4: Simplify right side
    538,932.44x = 218,593,295,141.38
  5. Step 5: Solve for x
    x = 218,593,295,141.38/538,932.44
  6. Step 6: Final answer
    x = 405,604.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.