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Finding the Fourth Proportional to 321,873.74, 444,165.10 and 201,007.84

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Solution

The fourth proportional to 321,873.74, 444,165.10 and 201,007.84 is: 277,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,873.74 : 444,165.10 = 201,007.84 : x
  2. Step 2: Convert to fraction form
    321,873.74/444,165.10 = 201,007.84/x
  3. Step 3: Cross multiply
    321,873.74x = 444,165.10 × 201,007.84
  4. Step 4: Simplify right side
    321,873.74x = 89,280,667,354.38
  5. Step 5: Solve for x
    x = 89,280,667,354.38/321,873.74
  6. Step 6: Final answer
    x = 277,377.92

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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.