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Finding the Fourth Proportional to 513,939.29, 709,227.61 and 284,491.67

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Solution

The fourth proportional to 513,939.29, 709,227.61 and 284,491.67 is: 392,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,939.29 : 709,227.61 = 284,491.67 : x
  2. Step 2: Convert to fraction form
    513,939.29/709,227.61 = 284,491.67/x
  3. Step 3: Cross multiply
    513,939.29x = 709,227.61 × 284,491.67
  4. Step 4: Simplify right side
    513,939.29x = 201,769,347,179.01
  5. Step 5: Solve for x
    x = 201,769,347,179.01/513,939.29
  6. Step 6: Final answer
    x = 392,593.74

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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.