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Finding the Fourth Proportional to 471,002.20, 706,284.60 and 204,625.60

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Solution

The fourth proportional to 471,002.20, 706,284.60 and 204,625.60 is: 306,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,002.20 : 706,284.60 = 204,625.60 : x
  2. Step 2: Convert to fraction form
    471,002.20/706,284.60 = 204,625.60/x
  3. Step 3: Cross multiply
    471,002.20x = 706,284.60 × 204,625.60
  4. Step 4: Simplify right side
    471,002.20x = 144,523,910,045.76
  5. Step 5: Solve for x
    x = 144,523,910,045.76/471,002.20
  6. Step 6: Final answer
    x = 306,843.39

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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.