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Finding the Fourth Proportional to 305,885.44, 422,189.34 and 169,966.06

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Solution

The fourth proportional to 305,885.44, 422,189.34 and 169,966.06 is: 234,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,885.44 : 422,189.34 = 169,966.06 : x
  2. Step 2: Convert to fraction form
    305,885.44/422,189.34 = 169,966.06/x
  3. Step 3: Cross multiply
    305,885.44x = 422,189.34 × 169,966.06
  4. Step 4: Simplify right side
    305,885.44x = 71,757,858,693.80
  5. Step 5: Solve for x
    x = 71,757,858,693.80/305,885.44
  6. Step 6: Final answer
    x = 234,590.63

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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.