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Finding the Fourth Proportional to 414,082.20, 620,680.40 and 189,105.50

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Solution

The fourth proportional to 414,082.20, 620,680.40 and 189,105.50 is: 283,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,082.20 : 620,680.40 = 189,105.50 : x
  2. Step 2: Convert to fraction form
    414,082.20/620,680.40 = 189,105.50/x
  3. Step 3: Cross multiply
    414,082.20x = 620,680.40 × 189,105.50
  4. Step 4: Simplify right side
    414,082.20x = 117,374,077,382.20
  5. Step 5: Solve for x
    x = 117,374,077,382.20/414,082.20
  6. Step 6: Final answer
    x = 283,455.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.