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Finding the Fourth Proportional to 324,794.64, 486,511.56 and 206,405.04

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Solution

The fourth proportional to 324,794.64, 486,511.56 and 206,405.04 is: 309,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,794.64 : 486,511.56 = 206,405.04 : x
  2. Step 2: Convert to fraction form
    324,794.64/486,511.56 = 206,405.04/x
  3. Step 3: Cross multiply
    324,794.64x = 486,511.56 × 206,405.04
  4. Step 4: Simplify right side
    324,794.64x = 100,418,438,002.26
  5. Step 5: Solve for x
    x = 100,418,438,002.26/324,794.64
  6. Step 6: Final answer
    x = 309,175.17

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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.