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Finding the Fourth Proportional to 293,198.45, 404,657.37 and 185,778.54

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Solution

The fourth proportional to 293,198.45, 404,657.37 and 185,778.54 is: 256,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,198.45 : 404,657.37 = 185,778.54 : x
  2. Step 2: Convert to fraction form
    293,198.45/404,657.37 = 185,778.54/x
  3. Step 3: Cross multiply
    293,198.45x = 404,657.37 × 185,778.54
  4. Step 4: Simplify right side
    293,198.45x = 75,176,655,398.84
  5. Step 5: Solve for x
    x = 75,176,655,398.84/293,198.45
  6. Step 6: Final answer
    x = 256,401.96

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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.