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Finding the Fourth Proportional to 393,782, 543,419.16 and 214,934

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Solution

The fourth proportional to 393,782, 543,419.16 and 214,934 is: 296,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,782 : 543,419.16 = 214,934 : x
  2. Step 2: Convert to fraction form
    393,782/543,419.16 = 214,934/x
  3. Step 3: Cross multiply
    393,782x = 543,419.16 × 214,934
  4. Step 4: Simplify right side
    393,782x = 116,799,253,735.44
  5. Step 5: Solve for x
    x = 116,799,253,735.44/393,782
  6. Step 6: Final answer
    x = 296,608.92

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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.