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Finding the Fourth Proportional to 396,454.38, 546,824.40 and 363,853.80

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Solution

The fourth proportional to 396,454.38, 546,824.40 and 363,853.80 is: 501,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,454.38 : 546,824.40 = 363,853.80 : x
  2. Step 2: Convert to fraction form
    396,454.38/546,824.40 = 363,853.80/x
  3. Step 3: Cross multiply
    396,454.38x = 546,824.40 × 363,853.80
  4. Step 4: Simplify right side
    396,454.38x = 198,964,135,872.72
  5. Step 5: Solve for x
    x = 198,964,135,872.72/396,454.38
  6. Step 6: Final answer
    x = 501,858.84

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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.