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Finding the Fourth Proportional to 321,604.24, 443,742.32 and 185,609.36

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Solution

The fourth proportional to 321,604.24, 443,742.32 and 185,609.36 is: 256,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,604.24 : 443,742.32 = 185,609.36 : x
  2. Step 2: Convert to fraction form
    321,604.24/443,742.32 = 185,609.36/x
  3. Step 3: Cross multiply
    321,604.24x = 443,742.32 × 185,609.36
  4. Step 4: Simplify right side
    321,604.24x = 82,362,728,020.12
  5. Step 5: Solve for x
    x = 82,362,728,020.12/321,604.24
  6. Step 6: Final answer
    x = 256,099.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.