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Finding the Fourth Proportional to 408,906.40, 613,359.60 and 382,662.40

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Solution

The fourth proportional to 408,906.40, 613,359.60 and 382,662.40 is: 573,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,906.40 : 613,359.60 = 382,662.40 : x
  2. Step 2: Convert to fraction form
    408,906.40/613,359.60 = 382,662.40/x
  3. Step 3: Cross multiply
    408,906.40x = 613,359.60 × 382,662.40
  4. Step 4: Simplify right side
    408,906.40x = 234,709,656,599.04
  5. Step 5: Solve for x
    x = 234,709,656,599.04/408,906.40
  6. Step 6: Final answer
    x = 573,993.60

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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.