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Finding the Fourth Proportional to 320,325.12, 441,987.84 and 201,039.36

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Solution

The fourth proportional to 320,325.12, 441,987.84 and 201,039.36 is: 277,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,325.12 : 441,987.84 = 201,039.36 : x
  2. Step 2: Convert to fraction form
    320,325.12/441,987.84 = 201,039.36/x
  3. Step 3: Cross multiply
    320,325.12x = 441,987.84 × 201,039.36
  4. Step 4: Simplify right side
    320,325.12x = 88,856,952,481.38
  5. Step 5: Solve for x
    x = 88,856,952,481.38/320,325.12
  6. Step 6: Final answer
    x = 277,396.14

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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.