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Finding the Fourth Proportional to 422,462.88, 633,774.24 and 169,763.04

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Solution

The fourth proportional to 422,462.88, 633,774.24 and 169,763.04 is: 254,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,462.88 : 633,774.24 = 169,763.04 : x
  2. Step 2: Convert to fraction form
    422,462.88/633,774.24 = 169,763.04/x
  3. Step 3: Cross multiply
    422,462.88x = 633,774.24 × 169,763.04
  4. Step 4: Simplify right side
    422,462.88x = 107,591,441,656.09
  5. Step 5: Solve for x
    x = 107,591,441,656.09/422,462.88
  6. Step 6: Final answer
    x = 254,676.68

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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.