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Finding the Fourth Proportional to 403,745.09, 557,165.49 and 222,452.82

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Solution

The fourth proportional to 403,745.09, 557,165.49 and 222,452.82 is: 306,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,745.09 : 557,165.49 = 222,452.82 : x
  2. Step 2: Convert to fraction form
    403,745.09/557,165.49 = 222,452.82/x
  3. Step 3: Cross multiply
    403,745.09x = 557,165.49 × 222,452.82
  4. Step 4: Simplify right side
    403,745.09x = 123,943,030,559.09
  5. Step 5: Solve for x
    x = 123,943,030,559.09/403,745.09
  6. Step 6: Final answer
    x = 306,983.38

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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.