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Finding the Fourth Proportional to 764,383.86, 1,054,863.18 and 420,234.30

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Solution

The fourth proportional to 764,383.86, 1,054,863.18 and 420,234.30 is: 579,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,383.86 : 1,054,863.18 = 420,234.30 : x
  2. Step 2: Convert to fraction form
    764,383.86/1,054,863.18 = 420,234.30/x
  3. Step 3: Cross multiply
    764,383.86x = 1,054,863.18 × 420,234.30
  4. Step 4: Simplify right side
    764,383.86x = 443,289,690,043.07
  5. Step 5: Solve for x
    x = 443,289,690,043.07/764,383.86
  6. Step 6: Final answer
    x = 579,930.73

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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.