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Finding the Fourth Proportional to 293,084.44, 404,456.52 and 158,948.44

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Solution

The fourth proportional to 293,084.44, 404,456.52 and 158,948.44 is: 219,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,084.44 : 404,456.52 = 158,948.44 : x
  2. Step 2: Convert to fraction form
    293,084.44/404,456.52 = 158,948.44/x
  3. Step 3: Cross multiply
    293,084.44x = 404,456.52 × 158,948.44
  4. Step 4: Simplify right side
    293,084.44x = 64,287,730,879.55
  5. Step 5: Solve for x
    x = 64,287,730,879.55/293,084.44
  6. Step 6: Final answer
    x = 219,348.84

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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.