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Finding the Fourth Proportional to 322,148.35, 444,787.11 and 201,343.93

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Solution

The fourth proportional to 322,148.35, 444,787.11 and 201,343.93 is: 277,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,148.35 : 444,787.11 = 201,343.93 : x
  2. Step 2: Convert to fraction form
    322,148.35/444,787.11 = 201,343.93/x
  3. Step 3: Cross multiply
    322,148.35x = 444,787.11 × 201,343.93
  4. Step 4: Simplify right side
    322,148.35x = 89,555,184,740.74
  5. Step 5: Solve for x
    x = 89,555,184,740.74/322,148.35
  6. Step 6: Final answer
    x = 277,993.62

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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.