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Finding the Fourth Proportional to 764,625.82, 1,055,210.17 and 420,475.85

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Solution

The fourth proportional to 764,625.82, 1,055,210.17 and 420,475.85 is: 580,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,625.82 : 1,055,210.17 = 420,475.85 : x
  2. Step 2: Convert to fraction form
    764,625.82/1,055,210.17 = 420,475.85/x
  3. Step 3: Cross multiply
    764,625.82x = 1,055,210.17 × 420,475.85
  4. Step 4: Simplify right side
    764,625.82x = 443,690,394,746.23
  5. Step 5: Solve for x
    x = 443,690,394,746.23/764,625.82
  6. Step 6: Final answer
    x = 580,271.27

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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.