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Finding the Fourth Proportional to 378,047.25, 567,175.97 and 164,833.80

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Solution

The fourth proportional to 378,047.25, 567,175.97 and 164,833.80 is: 247,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,047.25 : 567,175.97 = 164,833.80 : x
  2. Step 2: Convert to fraction form
    378,047.25/567,175.97 = 164,833.80/x
  3. Step 3: Cross multiply
    378,047.25x = 567,175.97 × 164,833.80
  4. Step 4: Simplify right side
    378,047.25x = 93,489,770,403.79
  5. Step 5: Solve for x
    x = 93,489,770,403.79/378,047.25
  6. Step 6: Final answer
    x = 247,296.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.