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Finding the Fourth Proportional to 500,134.18, 690,189.78 and 296,196.70

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Solution

The fourth proportional to 500,134.18, 690,189.78 and 296,196.70 is: 408,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,134.18 : 690,189.78 = 296,196.70 : x
  2. Step 2: Convert to fraction form
    500,134.18/690,189.78 = 296,196.70/x
  3. Step 3: Cross multiply
    500,134.18x = 690,189.78 × 296,196.70
  4. Step 4: Simplify right side
    500,134.18x = 204,431,935,209.73
  5. Step 5: Solve for x
    x = 204,431,935,209.73/500,134.18
  6. Step 6: Final answer
    x = 408,754.18

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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.