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Finding the Fourth Proportional to 494,355.30, 682,215.68 and 290,414.81

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Solution

The fourth proportional to 494,355.30, 682,215.68 and 290,414.81 is: 400,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,355.30 : 682,215.68 = 290,414.81 : x
  2. Step 2: Convert to fraction form
    494,355.30/682,215.68 = 290,414.81/x
  3. Step 3: Cross multiply
    494,355.30x = 682,215.68 × 290,414.81
  4. Step 4: Simplify right side
    494,355.30x = 198,125,537,086.22
  5. Step 5: Solve for x
    x = 198,125,537,086.22/494,355.30
  6. Step 6: Final answer
    x = 400,775.59

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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.