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Finding the Fourth Proportional to 299,447.73, 413,321.27 and 172,164.33

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Solution

The fourth proportional to 299,447.73, 413,321.27 and 172,164.33 is: 237,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,447.73 : 413,321.27 = 172,164.33 : x
  2. Step 2: Convert to fraction form
    299,447.73/413,321.27 = 172,164.33/x
  3. Step 3: Cross multiply
    299,447.73x = 413,321.27 × 172,164.33
  4. Step 4: Simplify right side
    299,447.73x = 71,159,178,663.48
  5. Step 5: Solve for x
    x = 71,159,178,663.48/299,447.73
  6. Step 6: Final answer
    x = 237,634.72

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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.