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Finding the Fourth Proportional to 300,608, 414,839.16 and 166,472

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Solution

The fourth proportional to 300,608, 414,839.16 and 166,472 is: 229,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,608 : 414,839.16 = 166,472 : x
  2. Step 2: Convert to fraction form
    300,608/414,839.16 = 166,472/x
  3. Step 3: Cross multiply
    300,608x = 414,839.16 × 166,472
  4. Step 4: Simplify right side
    300,608x = 69,059,104,643.52
  5. Step 5: Solve for x
    x = 69,059,104,643.52/300,608
  6. Step 6: Final answer
    x = 229,731.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.