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Finding the Fourth Proportional to 361,498.78, 542,584.55 and 184,138.57

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Solution

The fourth proportional to 361,498.78, 542,584.55 and 184,138.57 is: 276,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,498.78 : 542,584.55 = 184,138.57 : x
  2. Step 2: Convert to fraction form
    361,498.78/542,584.55 = 184,138.57/x
  3. Step 3: Cross multiply
    361,498.78x = 542,584.55 × 184,138.57
  4. Step 4: Simplify right side
    361,498.78x = 99,910,743,141.09
  5. Step 5: Solve for x
    x = 99,910,743,141.09/361,498.78
  6. Step 6: Final answer
    x = 276,379.20

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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.