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Finding the Fourth Proportional to 299,844.08, 413,832.48 and 172,494.80

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Solution

The fourth proportional to 299,844.08, 413,832.48 and 172,494.80 is: 238,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,844.08 : 413,832.48 = 172,494.80 : x
  2. Step 2: Convert to fraction form
    299,844.08/413,832.48 = 172,494.80/x
  3. Step 3: Cross multiply
    299,844.08x = 413,832.48 × 172,494.80
  4. Step 4: Simplify right side
    299,844.08x = 71,383,950,871.10
  5. Step 5: Solve for x
    x = 71,383,950,871.10/299,844.08
  6. Step 6: Final answer
    x = 238,070.24

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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.