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Finding the Fourth Proportional to 393,724.80, 590,198.40 and 193,881.60

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Solution

The fourth proportional to 393,724.80, 590,198.40 and 193,881.60 is: 290,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,724.80 : 590,198.40 = 193,881.60 : x
  2. Step 2: Convert to fraction form
    393,724.80/590,198.40 = 193,881.60/x
  3. Step 3: Cross multiply
    393,724.80x = 590,198.40 × 193,881.60
  4. Step 4: Simplify right side
    393,724.80x = 114,428,610,109.44
  5. Step 5: Solve for x
    x = 114,428,610,109.44/393,724.80
  6. Step 6: Final answer
    x = 290,630.94

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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.