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Finding the Fourth Proportional to 414,081.44, 620,679.28 and 189,104.75

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Solution

The fourth proportional to 414,081.44, 620,679.28 and 189,104.75 is: 283,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,081.44 : 620,679.28 = 189,104.75 : x
  2. Step 2: Convert to fraction form
    414,081.44/620,679.28 = 189,104.75/x
  3. Step 3: Cross multiply
    414,081.44x = 620,679.28 × 189,104.75
  4. Step 4: Simplify right side
    414,081.44x = 117,373,400,074.58
  5. Step 5: Solve for x
    x = 117,373,400,074.58/414,081.44
  6. Step 6: Final answer
    x = 283,454.87

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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.