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Finding the Fourth Proportional to 299,667.26, 413,553.41 and 172,342.97

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Solution

The fourth proportional to 299,667.26, 413,553.41 and 172,342.97 is: 237,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,667.26 : 413,553.41 = 172,342.97 : x
  2. Step 2: Convert to fraction form
    299,667.26/413,553.41 = 172,342.97/x
  3. Step 3: Cross multiply
    299,667.26x = 413,553.41 × 172,342.97
  4. Step 4: Simplify right side
    299,667.26x = 71,273,022,071.31
  5. Step 5: Solve for x
    x = 71,273,022,071.31/299,667.26
  6. Step 6: Final answer
    x = 237,840.54

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1.5x scale

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.