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Finding the Fourth Proportional to 500,380.82, 690,498.18 and 293,621.37

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Solution

The fourth proportional to 500,380.82, 690,498.18 and 293,621.37 is: 405,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,380.82 : 690,498.18 = 293,621.37 : x
  2. Step 2: Convert to fraction form
    500,380.82/690,498.18 = 293,621.37/x
  3. Step 3: Cross multiply
    500,380.82x = 690,498.18 × 293,621.37
  4. Step 4: Simplify right side
    500,380.82x = 202,745,021,594.11
  5. Step 5: Solve for x
    x = 202,745,021,594.11/500,380.82
  6. Step 6: Final answer
    x = 405,181.44

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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.