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Finding the Fourth Proportional to 327,502.42, 451,929 and 184,234.84

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Solution

The fourth proportional to 327,502.42, 451,929 and 184,234.84 is: 254,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,502.42 : 451,929 = 184,234.84 : x
  2. Step 2: Convert to fraction form
    327,502.42/451,929 = 184,234.84/x
  3. Step 3: Cross multiply
    327,502.42x = 451,929 × 184,234.84
  4. Step 4: Simplify right side
    327,502.42x = 83,261,067,006.36
  5. Step 5: Solve for x
    x = 83,261,067,006.36/327,502.42
  6. Step 6: Final answer
    x = 254,230.39

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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.