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Finding the Fourth Proportional to 308,968.80, 463,453.20 and 151,504.80

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Solution

The fourth proportional to 308,968.80, 463,453.20 and 151,504.80 is: 227,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,968.80 : 463,453.20 = 151,504.80 : x
  2. Step 2: Convert to fraction form
    308,968.80/463,453.20 = 151,504.80/x
  3. Step 3: Cross multiply
    308,968.80x = 463,453.20 × 151,504.80
  4. Step 4: Simplify right side
    308,968.80x = 70,215,384,375.36
  5. Step 5: Solve for x
    x = 70,215,384,375.36/308,968.80
  6. Step 6: Final answer
    x = 227,257.20

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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.