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Finding the Fourth Proportional to 396,210.43, 546,768.60 and 214,922.44

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Solution

The fourth proportional to 396,210.43, 546,768.60 and 214,922.44 is: 296,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,210.43 : 546,768.60 = 214,922.44 : x
  2. Step 2: Convert to fraction form
    396,210.43/546,768.60 = 214,922.44/x
  3. Step 3: Cross multiply
    396,210.43x = 546,768.60 × 214,922.44
  4. Step 4: Simplify right side
    396,210.43x = 117,512,841,627.38
  5. Step 5: Solve for x
    x = 117,512,841,627.38/396,210.43
  6. Step 6: Final answer
    x = 296,591.99

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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.