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Finding the Fourth Proportional to 308,016, 462,024 and 111,024

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Solution

The fourth proportional to 308,016, 462,024 and 111,024 is: 166,536

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,016 : 462,024 = 111,024 : x
  2. Step 2: Convert to fraction form
    308,016/462,024 = 111,024/x
  3. Step 3: Cross multiply
    308,016x = 462,024 × 111,024
  4. Step 4: Simplify right side
    308,016x = 51,295,752,576
  5. Step 5: Solve for x
    x = 51,295,752,576/308,016
  6. Step 6: Final answer
    x = 166,536

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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.