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Finding the Fourth Proportional to 396,208.44, 546,765.85 and 214,920.45

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Solution

The fourth proportional to 396,208.44, 546,765.85 and 214,920.45 is: 296,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,208.44 : 546,765.85 = 214,920.45 : x
  2. Step 2: Convert to fraction form
    396,208.44/546,765.85 = 214,920.45/x
  3. Step 3: Cross multiply
    396,208.44x = 546,765.85 × 214,920.45
  4. Step 4: Simplify right side
    396,208.44x = 117,511,162,526.63
  5. Step 5: Solve for x
    x = 117,511,162,526.63/396,208.44
  6. Step 6: Final answer
    x = 296,589.25

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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.