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Finding the Fourth Proportional to 293,093.88, 404,545.58 and 165,843.28

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Solution

The fourth proportional to 293,093.88, 404,545.58 and 165,843.28 is: 228,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,093.88 : 404,545.58 = 165,843.28 : x
  2. Step 2: Convert to fraction form
    293,093.88/404,545.58 = 165,843.28/x
  3. Step 3: Cross multiply
    293,093.88x = 404,545.58 × 165,843.28
  4. Step 4: Simplify right side
    293,093.88x = 67,091,165,896.70
  5. Step 5: Solve for x
    x = 67,091,165,896.70/293,093.88
  6. Step 6: Final answer
    x = 228,906.74

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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.