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Finding the Fourth Proportional to 500,134.68, 690,190.47 and 296,197.20

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Solution

The fourth proportional to 500,134.68, 690,190.47 and 296,197.20 is: 408,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,134.68 : 690,190.47 = 296,197.20 : x
  2. Step 2: Convert to fraction form
    500,134.68/690,190.47 = 296,197.20/x
  3. Step 3: Cross multiply
    500,134.68x = 690,190.47 × 296,197.20
  4. Step 4: Simplify right side
    500,134.68x = 204,432,484,680.68
  5. Step 5: Solve for x
    x = 204,432,484,680.68/500,134.68
  6. Step 6: Final answer
    x = 408,754.87

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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.