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Finding the Fourth Proportional to 308,230.20, 462,431.70 and 150,463.80

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Solution

The fourth proportional to 308,230.20, 462,431.70 and 150,463.80 is: 225,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,230.20 : 462,431.70 = 150,463.80 : x
  2. Step 2: Convert to fraction form
    308,230.20/462,431.70 = 150,463.80/x
  3. Step 3: Cross multiply
    308,230.20x = 462,431.70 × 150,463.80
  4. Step 4: Simplify right side
    308,230.20x = 69,579,230,822.46
  5. Step 5: Solve for x
    x = 69,579,230,822.46/308,230.20
  6. Step 6: Final answer
    x = 225,737.88

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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.