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Finding the Fourth Proportional to 500,380.07, 690,497.14 and 293,620.62

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Solution

The fourth proportional to 500,380.07, 690,497.14 and 293,620.62 is: 405,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,380.07 : 690,497.14 = 293,620.62 : x
  2. Step 2: Convert to fraction form
    500,380.07/690,497.14 = 293,620.62/x
  3. Step 3: Cross multiply
    500,380.07x = 690,497.14 × 293,620.62
  4. Step 4: Simplify right side
    500,380.07x = 202,744,200,057.57
  5. Step 5: Solve for x
    x = 202,744,200,057.57/500,380.07
  6. Step 6: Final answer
    x = 405,180.41

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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.