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Finding the Fourth Proportional to 327,520.32, 491,505.96 and 114,289.44

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Solution

The fourth proportional to 327,520.32, 491,505.96 and 114,289.44 is: 171,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,520.32 : 491,505.96 = 114,289.44 : x
  2. Step 2: Convert to fraction form
    327,520.32/491,505.96 = 114,289.44/x
  3. Step 3: Cross multiply
    327,520.32x = 491,505.96 × 114,289.44
  4. Step 4: Simplify right side
    327,520.32x = 56,173,940,925.06
  5. Step 5: Solve for x
    x = 56,173,940,925.06/327,520.32
  6. Step 6: Final answer
    x = 171,512.84

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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.