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Finding the Fourth Proportional to 764,564.67, 1,055,103.17 and 420,422.60

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Solution

The fourth proportional to 764,564.67, 1,055,103.17 and 420,422.60 is: 580,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,564.67 : 1,055,103.17 = 420,422.60 : x
  2. Step 2: Convert to fraction form
    764,564.67/1,055,103.17 = 420,422.60/x
  3. Step 3: Cross multiply
    764,564.67x = 1,055,103.17 × 420,422.60
  4. Step 4: Simplify right side
    764,564.67x = 443,589,218,535.29
  5. Step 5: Solve for x
    x = 443,589,218,535.29/764,564.67
  6. Step 6: Final answer
    x = 580,185.35

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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.