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Finding the Fourth Proportional to 327,181.84, 490,574.48 and 213,414.64

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Solution

The fourth proportional to 327,181.84, 490,574.48 and 213,414.64 is: 319,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,181.84 : 490,574.48 = 213,414.64 : x
  2. Step 2: Convert to fraction form
    327,181.84/490,574.48 = 213,414.64/x
  3. Step 3: Cross multiply
    327,181.84x = 490,574.48 × 213,414.64
  4. Step 4: Simplify right side
    327,181.84x = 104,695,776,042.39
  5. Step 5: Solve for x
    x = 104,695,776,042.39/327,181.84
  6. Step 6: Final answer
    x = 319,992.63

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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.