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Finding the Fourth Proportional to 403,893.26, 605,267.84 and 224,057.27

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Solution

The fourth proportional to 403,893.26, 605,267.84 and 224,057.27 is: 335,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,893.26 : 605,267.84 = 224,057.27 : x
  2. Step 2: Convert to fraction form
    403,893.26/605,267.84 = 224,057.27/x
  3. Step 3: Cross multiply
    403,893.26x = 605,267.84 × 224,057.27
  4. Step 4: Simplify right side
    403,893.26x = 135,614,661,922.51
  5. Step 5: Solve for x
    x = 135,614,661,922.51/403,893.26
  6. Step 6: Final answer
    x = 335,768.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.