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Finding the Fourth Proportional to 396,415.98, 547,081.02 and 224,334.06

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Solution

The fourth proportional to 396,415.98, 547,081.02 and 224,334.06 is: 309,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,415.98 : 547,081.02 = 224,334.06 : x
  2. Step 2: Convert to fraction form
    396,415.98/547,081.02 = 224,334.06/x
  3. Step 3: Cross multiply
    396,415.98x = 547,081.02 × 224,334.06
  4. Step 4: Simplify right side
    396,415.98x = 122,728,906,365.54
  5. Step 5: Solve for x
    x = 122,728,906,365.54/396,415.98
  6. Step 6: Final answer
    x = 309,596.26

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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.