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Finding the Fourth Proportional to 308,914.20, 463,371.30 and 190,200.60

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Solution

The fourth proportional to 308,914.20, 463,371.30 and 190,200.60 is: 285,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,914.20 : 463,371.30 = 190,200.60 : x
  2. Step 2: Convert to fraction form
    308,914.20/463,371.30 = 190,200.60/x
  3. Step 3: Cross multiply
    308,914.20x = 463,371.30 × 190,200.60
  4. Step 4: Simplify right side
    308,914.20x = 88,133,499,282.78
  5. Step 5: Solve for x
    x = 88,133,499,282.78/308,914.20
  6. Step 6: Final answer
    x = 285,300.90

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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.