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Finding the Fourth Proportional to 682,193.32, 941,795.88 and 410,321.92

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Solution

The fourth proportional to 682,193.32, 941,795.88 and 410,321.92 is: 566,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,193.32 : 941,795.88 = 410,321.92 : x
  2. Step 2: Convert to fraction form
    682,193.32/941,795.88 = 410,321.92/x
  3. Step 3: Cross multiply
    682,193.32x = 941,795.88 × 410,321.92
  4. Step 4: Simplify right side
    682,193.32x = 386,439,493,729.69
  5. Step 5: Solve for x
    x = 386,439,493,729.69/682,193.32
  6. Step 6: Final answer
    x = 566,466.25

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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.