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Finding the Fourth Proportional to 327,282, 451,646.34 and 184,039

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Solution

The fourth proportional to 327,282, 451,646.34 and 184,039 is: 253,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,282 : 451,646.34 = 184,039 : x
  2. Step 2: Convert to fraction form
    327,282/451,646.34 = 184,039/x
  3. Step 3: Cross multiply
    327,282x = 451,646.34 × 184,039
  4. Step 4: Simplify right side
    327,282x = 83,120,540,767.26
  5. Step 5: Solve for x
    x = 83,120,540,767.26/327,282
  6. Step 6: Final answer
    x = 253,972.23

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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.