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Finding the Fourth Proportional to 308,963.70, 462,927.15 and 150,851.70

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Solution

The fourth proportional to 308,963.70, 462,927.15 and 150,851.70 is: 226,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,963.70 : 462,927.15 = 150,851.70 : x
  2. Step 2: Convert to fraction form
    308,963.70/462,927.15 = 150,851.70/x
  3. Step 3: Cross multiply
    308,963.70x = 462,927.15 × 150,851.70
  4. Step 4: Simplify right side
    308,963.70x = 69,833,347,553.66
  5. Step 5: Solve for x
    x = 69,833,347,553.66/308,963.70
  6. Step 6: Final answer
    x = 226,024.44

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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.