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Finding the Fourth Proportional to 277,745.80, 415,565.70 and 184,433.80

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Solution

The fourth proportional to 277,745.80, 415,565.70 and 184,433.80 is: 275,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,745.80 : 415,565.70 = 184,433.80 : x
  2. Step 2: Convert to fraction form
    277,745.80/415,565.70 = 184,433.80/x
  3. Step 3: Cross multiply
    277,745.80x = 415,565.70 × 184,433.80
  4. Step 4: Simplify right side
    277,745.80x = 76,644,361,200.66
  5. Step 5: Solve for x
    x = 76,644,361,200.66/277,745.80
  6. Step 6: Final answer
    x = 275,951.47

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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.