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Finding the Fourth Proportional to 327,627, 491,558.76 and 114,426.30

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Solution

The fourth proportional to 327,627, 491,558.76 and 114,426.30 is: 171,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,627 : 491,558.76 = 114,426.30 : x
  2. Step 2: Convert to fraction form
    327,627/491,558.76 = 114,426.30/x
  3. Step 3: Cross multiply
    327,627x = 491,558.76 × 114,426.30
  4. Step 4: Simplify right side
    327,627x = 56,247,250,139.39
  5. Step 5: Solve for x
    x = 56,247,250,139.39/327,627
  6. Step 6: Final answer
    x = 171,680.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.