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Finding the Fourth Proportional to 327,464, 491,351.52 and 105,848

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Solution

The fourth proportional to 327,464, 491,351.52 and 105,848 is: 158,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,464 : 491,351.52 = 105,848 : x
  2. Step 2: Convert to fraction form
    327,464/491,351.52 = 105,848/x
  3. Step 3: Cross multiply
    327,464x = 491,351.52 × 105,848
  4. Step 4: Simplify right side
    327,464x = 52,008,575,688.96
  5. Step 5: Solve for x
    x = 52,008,575,688.96/327,464
  6. Step 6: Final answer
    x = 158,822.27

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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.