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Finding the Fourth Proportional to 393,226.40, 589,724.40 and 182,813.60

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Solution

The fourth proportional to 393,226.40, 589,724.40 and 182,813.60 is: 274,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,226.40 : 589,724.40 = 182,813.60 : x
  2. Step 2: Convert to fraction form
    393,226.40/589,724.40 = 182,813.60/x
  3. Step 3: Cross multiply
    393,226.40x = 589,724.40 × 182,813.60
  4. Step 4: Simplify right side
    393,226.40x = 107,809,640,571.84
  5. Step 5: Solve for x
    x = 107,809,640,571.84/393,226.40
  6. Step 6: Final answer
    x = 274,166.84

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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.