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Finding the Fourth Proportional to 300,997.22, 415,373.96 and 165,028.93

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Solution

The fourth proportional to 300,997.22, 415,373.96 and 165,028.93 is: 227,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,997.22 : 415,373.96 = 165,028.93 : x
  2. Step 2: Convert to fraction form
    300,997.22/415,373.96 = 165,028.93/x
  3. Step 3: Cross multiply
    300,997.22x = 415,373.96 × 165,028.93
  4. Step 4: Simplify right side
    300,997.22x = 68,548,719,542.80
  5. Step 5: Solve for x
    x = 68,548,719,542.80/300,997.22
  6. Step 6: Final answer
    x = 227,738.72

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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.