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Finding the Fourth Proportional to 512,166.30, 768,940.65 and 325,542.30

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Solution

The fourth proportional to 512,166.30, 768,940.65 and 325,542.30 is: 488,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,166.30 : 768,940.65 = 325,542.30 : x
  2. Step 2: Convert to fraction form
    512,166.30/768,940.65 = 325,542.30/x
  3. Step 3: Cross multiply
    512,166.30x = 768,940.65 × 325,542.30
  4. Step 4: Simplify right side
    512,166.30x = 250,322,707,764.50
  5. Step 5: Solve for x
    x = 250,322,707,764.50/512,166.30
  6. Step 6: Final answer
    x = 488,752.79

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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.