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Finding the Fourth Proportional to 294,392.41, 405,853.37 and 198,747.61

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Solution

The fourth proportional to 294,392.41, 405,853.37 and 198,747.61 is: 273,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,392.41 : 405,853.37 = 198,747.61 : x
  2. Step 2: Convert to fraction form
    294,392.41/405,853.37 = 198,747.61/x
  3. Step 3: Cross multiply
    294,392.41x = 405,853.37 × 198,747.61
  4. Step 4: Simplify right side
    294,392.41x = 80,662,386,034.88
  5. Step 5: Solve for x
    x = 80,662,386,034.88/294,392.41
  6. Step 6: Final answer
    x = 273,996.15

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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.