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Finding the Fourth Proportional to 548,936.16, 823,288.80 and 154,860

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Solution

The fourth proportional to 548,936.16, 823,288.80 and 154,860 is: 232,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,936.16 : 823,288.80 = 154,860 : x
  2. Step 2: Convert to fraction form
    548,936.16/823,288.80 = 154,860/x
  3. Step 3: Cross multiply
    548,936.16x = 823,288.80 × 154,860
  4. Step 4: Simplify right side
    548,936.16x = 127,494,503,568
  5. Step 5: Solve for x
    x = 127,494,503,568/548,936.16
  6. Step 6: Final answer
    x = 232,257.43

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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.