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Finding the Fourth Proportional to 322,334.24, 482,836.88 and 188,809.68

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Solution

The fourth proportional to 322,334.24, 482,836.88 and 188,809.68 is: 282,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,334.24 : 482,836.88 = 188,809.68 : x
  2. Step 2: Convert to fraction form
    322,334.24/482,836.88 = 188,809.68/x
  3. Step 3: Cross multiply
    322,334.24x = 482,836.88 × 188,809.68
  4. Step 4: Simplify right side
    322,334.24x = 91,164,275,860.95
  5. Step 5: Solve for x
    x = 91,164,275,860.95/322,334.24
  6. Step 6: Final answer
    x = 282,825.30

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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.