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Finding the Fourth Proportional to 396,201.84, 546,753.24 and 226,431.60

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Solution

The fourth proportional to 396,201.84, 546,753.24 and 226,431.60 is: 312,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,201.84 : 546,753.24 = 226,431.60 : x
  2. Step 2: Convert to fraction form
    396,201.84/546,753.24 = 226,431.60/x
  3. Step 3: Cross multiply
    396,201.84x = 546,753.24 × 226,431.60
  4. Step 4: Simplify right side
    396,201.84x = 123,802,210,938.38
  5. Step 5: Solve for x
    x = 123,802,210,938.38/396,201.84
  6. Step 6: Final answer
    x = 312,472.58

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1.5x scale

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.