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Finding the Fourth Proportional to 308,961.20, 462,923.40 and 150,849.20

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Solution

The fourth proportional to 308,961.20, 462,923.40 and 150,849.20 is: 226,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,961.20 : 462,923.40 = 150,849.20 : x
  2. Step 2: Convert to fraction form
    308,961.20/462,923.40 = 150,849.20/x
  3. Step 3: Cross multiply
    308,961.20x = 462,923.40 × 150,849.20
  4. Step 4: Simplify right side
    308,961.20x = 69,831,624,551.28
  5. Step 5: Solve for x
    x = 69,831,624,551.28/308,961.20
  6. Step 6: Final answer
    x = 226,020.69

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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.