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Finding the Fourth Proportional to 308,640.36, 462,957.24 and 234,217.56

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Solution

The fourth proportional to 308,640.36, 462,957.24 and 234,217.56 is: 351,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,640.36 : 462,957.24 = 234,217.56 : x
  2. Step 2: Convert to fraction form
    308,640.36/462,957.24 = 234,217.56/x
  3. Step 3: Cross multiply
    308,640.36x = 462,957.24 × 234,217.56
  4. Step 4: Simplify right side
    308,640.36x = 108,432,715,137.13
  5. Step 5: Solve for x
    x = 108,432,715,137.13/308,640.36
  6. Step 6: Final answer
    x = 351,323.84

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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.