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Finding the Fourth Proportional to 322,046.33, 444,437.80 and 178,806.38

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Solution

The fourth proportional to 322,046.33, 444,437.80 and 178,806.38 is: 246,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,046.33 : 444,437.80 = 178,806.38 : x
  2. Step 2: Convert to fraction form
    322,046.33/444,437.80 = 178,806.38/x
  3. Step 3: Cross multiply
    322,046.33x = 444,437.80 × 178,806.38
  4. Step 4: Simplify right side
    322,046.33x = 79,468,311,483.96
  5. Step 5: Solve for x
    x = 79,468,311,483.96/322,046.33
  6. Step 6: Final answer
    x = 246,760.50

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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.