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Finding the Fourth Proportional to 352,144.31, 485,950.32 and 197,093.30

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Solution

The fourth proportional to 352,144.31, 485,950.32 and 197,093.30 is: 271,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,144.31 : 485,950.32 = 197,093.30 : x
  2. Step 2: Convert to fraction form
    352,144.31/485,950.32 = 197,093.30/x
  3. Step 3: Cross multiply
    352,144.31x = 485,950.32 × 197,093.30
  4. Step 4: Simplify right side
    352,144.31x = 95,777,549,775.10
  5. Step 5: Solve for x
    x = 95,777,549,775.10/352,144.31
  6. Step 6: Final answer
    x = 271,983.81

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Why These Related Problems?

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