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Finding the Fourth Proportional to 512,187.96, 706,819.50 and 285,828.60

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Solution

The fourth proportional to 512,187.96, 706,819.50 and 285,828.60 is: 394,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,187.96 : 706,819.50 = 285,828.60 : x
  2. Step 2: Convert to fraction form
    512,187.96/706,819.50 = 285,828.60/x
  3. Step 3: Cross multiply
    512,187.96x = 706,819.50 × 285,828.60
  4. Step 4: Simplify right side
    512,187.96x = 202,029,228,137.70
  5. Step 5: Solve for x
    x = 202,029,228,137.70/512,187.96
  6. Step 6: Final answer
    x = 394,443.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.