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Finding the Fourth Proportional to 301,324.70, 415,826.78 and 165,360.86

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Solution

The fourth proportional to 301,324.70, 415,826.78 and 165,360.86 is: 228,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,324.70 : 415,826.78 = 165,360.86 : x
  2. Step 2: Convert to fraction form
    301,324.70/415,826.78 = 165,360.86/x
  3. Step 3: Cross multiply
    301,324.70x = 415,826.78 × 165,360.86
  4. Step 4: Simplify right side
    301,324.70x = 68,761,473,951.83
  5. Step 5: Solve for x
    x = 68,761,473,951.83/301,324.70
  6. Step 6: Final answer
    x = 228,197.27

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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.