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Finding the Fourth Proportional to 308,013.72, 462,023.24 and 108,335.56

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Solution

The fourth proportional to 308,013.72, 462,023.24 and 108,335.56 is: 162,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,013.72 : 462,023.24 = 108,335.56 : x
  2. Step 2: Convert to fraction form
    308,013.72/462,023.24 = 108,335.56/x
  3. Step 3: Cross multiply
    308,013.72x = 462,023.24 × 108,335.56
  4. Step 4: Simplify right side
    308,013.72x = 50,053,546,438.41
  5. Step 5: Solve for x
    x = 50,053,546,438.41/308,013.72
  6. Step 6: Final answer
    x = 162,504.28

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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.