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Finding the Fourth Proportional to 294,951.26, 407,067.30 and 167,646

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Solution

The fourth proportional to 294,951.26, 407,067.30 and 167,646 is: 231,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,951.26 : 407,067.30 = 167,646 : x
  2. Step 2: Convert to fraction form
    294,951.26/407,067.30 = 167,646/x
  3. Step 3: Cross multiply
    294,951.26x = 407,067.30 × 167,646
  4. Step 4: Simplify right side
    294,951.26x = 68,243,204,575.80
  5. Step 5: Solve for x
    x = 68,243,204,575.80/294,951.26
  6. Step 6: Final answer
    x = 231,371.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.