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Finding the Fourth Proportional to 293,367, 404,846.82 and 159,231

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Solution

The fourth proportional to 293,367, 404,846.82 and 159,231 is: 219,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,367 : 404,846.82 = 159,231 : x
  2. Step 2: Convert to fraction form
    293,367/404,846.82 = 159,231/x
  3. Step 3: Cross multiply
    293,367x = 404,846.82 × 159,231
  4. Step 4: Simplify right side
    293,367x = 64,464,163,995.42
  5. Step 5: Solve for x
    x = 64,464,163,995.42/293,367
  6. Step 6: Final answer
    x = 219,738.98

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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.