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Finding the Fourth Proportional to 311,475.56, 466,534.73 and 204,739.03

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Solution

The fourth proportional to 311,475.56, 466,534.73 and 204,739.03 is: 306,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,475.56 : 466,534.73 = 204,739.03 : x
  2. Step 2: Convert to fraction form
    311,475.56/466,534.73 = 204,739.03/x
  3. Step 3: Cross multiply
    311,475.56x = 466,534.73 × 204,739.03
  4. Step 4: Simplify right side
    311,475.56x = 95,517,867,427.02
  5. Step 5: Solve for x
    x = 95,517,867,427.02/311,475.56
  6. Step 6: Final answer
    x = 306,662.48

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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.