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Finding the Fourth Proportional to 324,203.64, 486,518.82 and 113,835.96

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Solution

The fourth proportional to 324,203.64, 486,518.82 and 113,835.96 is: 170,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,203.64 : 486,518.82 = 113,835.96 : x
  2. Step 2: Convert to fraction form
    324,203.64/486,518.82 = 113,835.96/x
  3. Step 3: Cross multiply
    324,203.64x = 486,518.82 × 113,835.96
  4. Step 4: Simplify right side
    324,203.64x = 55,383,336,932.77
  5. Step 5: Solve for x
    x = 55,383,336,932.77/324,203.64
  6. Step 6: Final answer
    x = 170,828.86

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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.