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Finding the Fourth Proportional to 276,434.82, 381,597.77 and 185,843.33

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Solution

The fourth proportional to 276,434.82, 381,597.77 and 185,843.33 is: 256,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,434.82 : 381,597.77 = 185,843.33 : x
  2. Step 2: Convert to fraction form
    276,434.82/381,597.77 = 185,843.33/x
  3. Step 3: Cross multiply
    276,434.82x = 381,597.77 × 185,843.33
  4. Step 4: Simplify right side
    276,434.82x = 70,917,398,891.16
  5. Step 5: Solve for x
    x = 70,917,398,891.16/276,434.82
  6. Step 6: Final answer
    x = 256,542.93

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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.