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Finding the Fourth Proportional to 419,834.34, 579,371.52 and 238,546.50

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Solution

The fourth proportional to 419,834.34, 579,371.52 and 238,546.50 is: 329,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,834.34 : 579,371.52 = 238,546.50 : x
  2. Step 2: Convert to fraction form
    419,834.34/579,371.52 = 238,546.50/x
  3. Step 3: Cross multiply
    419,834.34x = 579,371.52 × 238,546.50
  4. Step 4: Simplify right side
    419,834.34x = 138,207,048,295.68
  5. Step 5: Solve for x
    x = 138,207,048,295.68/419,834.34
  6. Step 6: Final answer
    x = 329,194.24

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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.