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Finding the Fourth Proportional to 396,100.86, 546,619.44 and 214,812.73

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Solution

The fourth proportional to 396,100.86, 546,619.44 and 214,812.73 is: 296,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,100.86 : 546,619.44 = 214,812.73 : x
  2. Step 2: Convert to fraction form
    396,100.86/546,619.44 = 214,812.73/x
  3. Step 3: Cross multiply
    396,100.86x = 546,619.44 × 214,812.73
  4. Step 4: Simplify right side
    396,100.86x = 117,420,814,177.47
  5. Step 5: Solve for x
    x = 117,420,814,177.47/396,100.86
  6. Step 6: Final answer
    x = 296,441.70

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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.