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Finding the Fourth Proportional to 496,023.60, 684,481.92 and 278,220.30

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Solution

The fourth proportional to 496,023.60, 684,481.92 and 278,220.30 is: 383,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,023.60 : 684,481.92 = 278,220.30 : x
  2. Step 2: Convert to fraction form
    496,023.60/684,481.92 = 278,220.30/x
  3. Step 3: Cross multiply
    496,023.60x = 684,481.92 × 278,220.30
  4. Step 4: Simplify right side
    496,023.60x = 190,436,765,126.98
  5. Step 5: Solve for x
    x = 190,436,765,126.98/496,023.60
  6. Step 6: Final answer
    x = 383,926.82

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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.