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Finding the Fourth Proportional to 322,106.90, 444,518.97 and 178,869.38

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Solution

The fourth proportional to 322,106.90, 444,518.97 and 178,869.38 is: 246,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,106.90 : 444,518.97 = 178,869.38 : x
  2. Step 2: Convert to fraction form
    322,106.90/444,518.97 = 178,869.38/x
  3. Step 3: Cross multiply
    322,106.90x = 444,518.97 × 178,869.38
  4. Step 4: Simplify right side
    322,106.90x = 79,510,832,562.14
  5. Step 5: Solve for x
    x = 79,510,832,562.14/322,106.90
  6. Step 6: Final answer
    x = 246,846.10

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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.