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Finding the Fourth Proportional to 322,031.44, 444,405.04 and 201,242.96

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Solution

The fourth proportional to 322,031.44, 444,405.04 and 201,242.96 is: 277,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,031.44 : 444,405.04 = 201,242.96 : x
  2. Step 2: Convert to fraction form
    322,031.44/444,405.04 = 201,242.96/x
  3. Step 3: Cross multiply
    322,031.44x = 444,405.04 × 201,242.96
  4. Step 4: Simplify right side
    322,031.44x = 89,433,385,688.52
  5. Step 5: Solve for x
    x = 89,433,385,688.52/322,031.44
  6. Step 6: Final answer
    x = 277,716.32

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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.