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Finding the Fourth Proportional to 333,318.80, 459,976.20 and 182,414

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Solution

The fourth proportional to 333,318.80, 459,976.20 and 182,414 is: 251,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,318.80 : 459,976.20 = 182,414 : x
  2. Step 2: Convert to fraction form
    333,318.80/459,976.20 = 182,414/x
  3. Step 3: Cross multiply
    333,318.80x = 459,976.20 × 182,414
  4. Step 4: Simplify right side
    333,318.80x = 83,906,098,546.80
  5. Step 5: Solve for x
    x = 83,906,098,546.80/333,318.80
  6. Step 6: Final answer
    x = 251,729.27

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Why These Related Problems?

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