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Finding the Fourth Proportional to 494,977.28, 682,552.32 and 293,734.40

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Solution

The fourth proportional to 494,977.28, 682,552.32 and 293,734.40 is: 405,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,977.28 : 682,552.32 = 293,734.40 : x
  2. Step 2: Convert to fraction form
    494,977.28/682,552.32 = 293,734.40/x
  3. Step 3: Cross multiply
    494,977.28x = 682,552.32 × 293,734.40
  4. Step 4: Simplify right side
    494,977.28x = 200,489,096,183.81
  5. Step 5: Solve for x
    x = 200,489,096,183.81/494,977.28
  6. Step 6: Final answer
    x = 405,047.07

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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.