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Finding the Fourth Proportional to 512,006.60, 768,009.90 and 325,843.40

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Solution

The fourth proportional to 512,006.60, 768,009.90 and 325,843.40 is: 488,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,006.60 : 768,009.90 = 325,843.40 : x
  2. Step 2: Convert to fraction form
    512,006.60/768,009.90 = 325,843.40/x
  3. Step 3: Cross multiply
    512,006.60x = 768,009.90 × 325,843.40
  4. Step 4: Simplify right side
    512,006.60x = 250,250,957,049.66
  5. Step 5: Solve for x
    x = 250,250,957,049.66/512,006.60
  6. Step 6: Final answer
    x = 488,765.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.