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Finding the Fourth Proportional to 320,714.88, 481,067.16 and 110,354.64

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Solution

The fourth proportional to 320,714.88, 481,067.16 and 110,354.64 is: 165,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,714.88 : 481,067.16 = 110,354.64 : x
  2. Step 2: Convert to fraction form
    320,714.88/481,067.16 = 110,354.64/x
  3. Step 3: Cross multiply
    320,714.88x = 481,067.16 × 110,354.64
  4. Step 4: Simplify right side
    320,714.88x = 53,087,993,257.62
  5. Step 5: Solve for x
    x = 53,087,993,257.62/320,714.88
  6. Step 6: Final answer
    x = 165,530.18

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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.