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Finding the Fourth Proportional to 322,205.28, 444,643.42 and 178,978.68

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Solution

The fourth proportional to 322,205.28, 444,643.42 and 178,978.68 is: 246,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,205.28 : 444,643.42 = 178,978.68 : x
  2. Step 2: Convert to fraction form
    322,205.28/444,643.42 = 178,978.68/x
  3. Step 3: Cross multiply
    322,205.28x = 444,643.42 × 178,978.68
  4. Step 4: Simplify right side
    322,205.28x = 79,581,692,382.29
  5. Step 5: Solve for x
    x = 79,581,692,382.29/322,205.28
  6. Step 6: Final answer
    x = 246,990.65

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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.