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Finding the Fourth Proportional to 320,774.88, 481,157.28 and 110,414.64

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Solution

The fourth proportional to 320,774.88, 481,157.28 and 110,414.64 is: 165,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,774.88 : 481,157.28 = 110,414.64 : x
  2. Step 2: Convert to fraction form
    320,774.88/481,157.28 = 110,414.64/x
  3. Step 3: Cross multiply
    320,774.88x = 481,157.28 × 110,414.64
  4. Step 4: Simplify right side
    320,774.88x = 53,126,807,854.58
  5. Step 5: Solve for x
    x = 53,126,807,854.58/320,774.88
  6. Step 6: Final answer
    x = 165,620.23

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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.