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Finding the Fourth Proportional to 308,743.20, 463,114.80 and 196,768.80

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Solution

The fourth proportional to 308,743.20, 463,114.80 and 196,768.80 is: 295,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,743.20 : 463,114.80 = 196,768.80 : x
  2. Step 2: Convert to fraction form
    308,743.20/463,114.80 = 196,768.80/x
  3. Step 3: Cross multiply
    308,743.20x = 463,114.80 × 196,768.80
  4. Step 4: Simplify right side
    308,743.20x = 91,126,543,458.24
  5. Step 5: Solve for x
    x = 91,126,543,458.24/308,743.20
  6. Step 6: Final answer
    x = 295,153.20

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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.