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Finding the Fourth Proportional to 322,205.04, 444,643.07 and 178,978.41

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Solution

The fourth proportional to 322,205.04, 444,643.07 and 178,978.41 is: 246,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,205.04 : 444,643.07 = 178,978.41 : x
  2. Step 2: Convert to fraction form
    322,205.04/444,643.07 = 178,978.41/x
  3. Step 3: Cross multiply
    322,205.04x = 444,643.07 × 178,978.41
  4. Step 4: Simplify right side
    322,205.04x = 79,581,508,791.23
  5. Step 5: Solve for x
    x = 79,581,508,791.23/322,205.04
  6. Step 6: Final answer
    x = 246,990.27

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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.