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Finding the Fourth Proportional to 764,705.88, 1,055,321.21 and 420,568.41

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Solution

The fourth proportional to 764,705.88, 1,055,321.21 and 420,568.41 is: 580,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,705.88 : 1,055,321.21 = 420,568.41 : x
  2. Step 2: Convert to fraction form
    764,705.88/1,055,321.21 = 420,568.41/x
  3. Step 3: Cross multiply
    764,705.88x = 1,055,321.21 × 420,568.41
  4. Step 4: Simplify right side
    764,705.88x = 443,834,763,328.98
  5. Step 5: Solve for x
    x = 443,834,763,328.98/764,705.88
  6. Step 6: Final answer
    x = 580,399.31

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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.