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Finding the Fourth Proportional to 308,731.23, 462,912.30 and 119,034.26

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Solution

The fourth proportional to 308,731.23, 462,912.30 and 119,034.26 is: 178,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,731.23 : 462,912.30 = 119,034.26 : x
  2. Step 2: Convert to fraction form
    308,731.23/462,912.30 = 119,034.26/x
  3. Step 3: Cross multiply
    308,731.23x = 462,912.30 × 119,034.26
  4. Step 4: Simplify right side
    308,731.23x = 55,102,422,496.76
  5. Step 5: Solve for x
    x = 55,102,422,496.76/308,731.23
  6. Step 6: Final answer
    x = 178,480.24

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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.