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Finding the Fourth Proportional to 682,193.82, 941,796.60 and 410,322.42

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Solution

The fourth proportional to 682,193.82, 941,796.60 and 410,322.42 is: 566,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,193.82 : 941,796.60 = 410,322.42 : x
  2. Step 2: Convert to fraction form
    682,193.82/941,796.60 = 410,322.42/x
  3. Step 3: Cross multiply
    682,193.82x = 941,796.60 × 410,322.42
  4. Step 4: Simplify right side
    682,193.82x = 386,440,260,059.77
  5. Step 5: Solve for x
    x = 386,440,260,059.77/682,193.82
  6. Step 6: Final answer
    x = 566,466.96

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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.