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Finding the Fourth Proportional to 308,963.20, 462,926.40 and 150,851.20

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Solution

The fourth proportional to 308,963.20, 462,926.40 and 150,851.20 is: 226,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,963.20 : 462,926.40 = 150,851.20 : x
  2. Step 2: Convert to fraction form
    308,963.20/462,926.40 = 150,851.20/x
  3. Step 3: Cross multiply
    308,963.20x = 462,926.40 × 150,851.20
  4. Step 4: Simplify right side
    308,963.20x = 69,833,002,951.68
  5. Step 5: Solve for x
    x = 69,833,002,951.68/308,963.20
  6. Step 6: Final answer
    x = 226,023.69

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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.