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Finding the Fourth Proportional to 308,343.11, 462,304.19 and 164,270.48

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Solution

The fourth proportional to 308,343.11, 462,304.19 and 164,270.48 is: 246,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,343.11 : 462,304.19 = 164,270.48 : x
  2. Step 2: Convert to fraction form
    308,343.11/462,304.19 = 164,270.48/x
  3. Step 3: Cross multiply
    308,343.11x = 462,304.19 × 164,270.48
  4. Step 4: Simplify right side
    308,343.11x = 75,942,928,064.44
  5. Step 5: Solve for x
    x = 75,942,928,064.44/308,343.11
  6. Step 6: Final answer
    x = 246,293.58

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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.