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Finding the Fourth Proportional to 277,520.92, 416,447.45 and 119,749.37

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Solution

The fourth proportional to 277,520.92, 416,447.45 and 119,749.37 is: 179,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,520.92 : 416,447.45 = 119,749.37 : x
  2. Step 2: Convert to fraction form
    277,520.92/416,447.45 = 119,749.37/x
  3. Step 3: Cross multiply
    277,520.92x = 416,447.45 × 119,749.37
  4. Step 4: Simplify right side
    277,520.92x = 49,869,319,176.86
  5. Step 5: Solve for x
    x = 49,869,319,176.86/277,520.92
  6. Step 6: Final answer
    x = 179,695.71

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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.