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Finding the Fourth Proportional to 327,647.60, 491,690.10 and 185,492.60

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Solution

The fourth proportional to 327,647.60, 491,690.10 and 185,492.60 is: 278,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,647.60 : 491,690.10 = 185,492.60 : x
  2. Step 2: Convert to fraction form
    327,647.60/491,690.10 = 185,492.60/x
  3. Step 3: Cross multiply
    327,647.60x = 491,690.10 × 185,492.60
  4. Step 4: Simplify right side
    327,647.60x = 91,204,875,043.26
  5. Step 5: Solve for x
    x = 91,204,875,043.26/327,647.60
  6. Step 6: Final answer
    x = 278,362.71

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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.