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Finding the Fourth Proportional to 325,494.21, 488,311.02 and 100,849.68

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Solution

The fourth proportional to 325,494.21, 488,311.02 and 100,849.68 is: 151,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,494.21 : 488,311.02 = 100,849.68 : x
  2. Step 2: Convert to fraction form
    325,494.21/488,311.02 = 100,849.68/x
  3. Step 3: Cross multiply
    325,494.21x = 488,311.02 × 100,849.68
  4. Step 4: Simplify right side
    325,494.21x = 49,246,010,107.47
  5. Step 5: Solve for x
    x = 49,246,010,107.47/325,494.21
  6. Step 6: Final answer
    x = 151,296.12

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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.