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Finding the Fourth Proportional to 327,816.40, 491,724.60 and 203,400.40

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Solution

The fourth proportional to 327,816.40, 491,724.60 and 203,400.40 is: 305,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,816.40 : 491,724.60 = 203,400.40 : x
  2. Step 2: Convert to fraction form
    327,816.40/491,724.60 = 203,400.40/x
  3. Step 3: Cross multiply
    327,816.40x = 491,724.60 × 203,400.40
  4. Step 4: Simplify right side
    327,816.40x = 100,016,980,329.84
  5. Step 5: Solve for x
    x = 100,016,980,329.84/327,816.40
  6. Step 6: Final answer
    x = 305,100.60

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1.5x scale

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.