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Finding the Fourth Proportional to 393,739.80, 590,220.90 and 193,896.60

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Solution

The fourth proportional to 393,739.80, 590,220.90 and 193,896.60 is: 290,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,739.80 : 590,220.90 = 193,896.60 : x
  2. Step 2: Convert to fraction form
    393,739.80/590,220.90 = 193,896.60/x
  3. Step 3: Cross multiply
    393,739.80x = 590,220.90 × 193,896.60
  4. Step 4: Simplify right side
    393,739.80x = 114,441,825,758.94
  5. Step 5: Solve for x
    x = 114,441,825,758.94/393,739.80
  6. Step 6: Final answer
    x = 290,653.44

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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.