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Finding the Fourth Proportional to 477,137.73, 658,230.62 and 422,745.38

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Solution

The fourth proportional to 477,137.73, 658,230.62 and 422,745.38 is: 583,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,137.73 : 658,230.62 = 422,745.38 : x
  2. Step 2: Convert to fraction form
    477,137.73/658,230.62 = 422,745.38/x
  3. Step 3: Cross multiply
    477,137.73x = 658,230.62 × 422,745.38
  4. Step 4: Simplify right side
    477,137.73x = 278,263,948,174.66
  5. Step 5: Solve for x
    x = 278,263,948,174.66/477,137.73
  6. Step 6: Final answer
    x = 583,194.18

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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.