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Finding the Fourth Proportional to 327,660.30, 491,490.45 and 280,421.10

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Solution

The fourth proportional to 327,660.30, 491,490.45 and 280,421.10 is: 420,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,660.30 : 491,490.45 = 280,421.10 : x
  2. Step 2: Convert to fraction form
    327,660.30/491,490.45 = 280,421.10/x
  3. Step 3: Cross multiply
    327,660.30x = 491,490.45 × 280,421.10
  4. Step 4: Simplify right side
    327,660.30x = 137,824,292,628.50
  5. Step 5: Solve for x
    x = 137,824,292,628.50/327,660.30
  6. Step 6: Final answer
    x = 420,631.65

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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.