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Finding the Fourth Proportional to 395,769.20, 594,042.60 and 196,314.80

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Solution

The fourth proportional to 395,769.20, 594,042.60 and 196,314.80 is: 294,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,769.20 : 594,042.60 = 196,314.80 : x
  2. Step 2: Convert to fraction form
    395,769.20/594,042.60 = 196,314.80/x
  3. Step 3: Cross multiply
    395,769.20x = 594,042.60 × 196,314.80
  4. Step 4: Simplify right side
    395,769.20x = 116,619,354,210.48
  5. Step 5: Solve for x
    x = 116,619,354,210.48/395,769.20
  6. Step 6: Final answer
    x = 294,665.06

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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.