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Finding the Fourth Proportional to 299,540.40, 413,331.75 and 172,257

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Solution

The fourth proportional to 299,540.40, 413,331.75 and 172,257 is: 237,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,540.40 : 413,331.75 = 172,257 : x
  2. Step 2: Convert to fraction form
    299,540.40/413,331.75 = 172,257/x
  3. Step 3: Cross multiply
    299,540.40x = 413,331.75 × 172,257
  4. Step 4: Simplify right side
    299,540.40x = 71,199,287,259.75
  5. Step 5: Solve for x
    x = 71,199,287,259.75/299,540.40
  6. Step 6: Final answer
    x = 237,695.11

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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.