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Finding the Fourth Proportional to 396,080.99, 546,591.90 and 214,792.86

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Solution

The fourth proportional to 396,080.99, 546,591.90 and 214,792.86 is: 296,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,080.99 : 546,591.90 = 214,792.86 : x
  2. Step 2: Convert to fraction form
    396,080.99/546,591.90 = 214,792.86/x
  3. Step 3: Cross multiply
    396,080.99x = 546,591.90 × 214,792.86
  4. Step 4: Simplify right side
    396,080.99x = 117,404,037,453.83
  5. Step 5: Solve for x
    x = 117,404,037,453.83/396,080.99
  6. Step 6: Final answer
    x = 296,414.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.