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Finding the Fourth Proportional to 324,107.60, 485,286.60 and 254,123.60

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Solution

The fourth proportional to 324,107.60, 485,286.60 and 254,123.60 is: 380,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,107.60 : 485,286.60 = 254,123.60 : x
  2. Step 2: Convert to fraction form
    324,107.60/485,286.60 = 254,123.60/x
  3. Step 3: Cross multiply
    324,107.60x = 485,286.60 × 254,123.60
  4. Step 4: Simplify right side
    324,107.60x = 123,322,777,823.76
  5. Step 5: Solve for x
    x = 123,322,777,823.76/324,107.60
  6. Step 6: Final answer
    x = 380,499.49

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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.