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Finding the Fourth Proportional to 396,056.44, 546,586.80 and 226,286.92

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Solution

The fourth proportional to 396,056.44, 546,586.80 and 226,286.92 is: 312,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,056.44 : 546,586.80 = 226,286.92 : x
  2. Step 2: Convert to fraction form
    396,056.44/546,586.80 = 226,286.92/x
  3. Step 3: Cross multiply
    396,056.44x = 546,586.80 × 226,286.92
  4. Step 4: Simplify right side
    396,056.44x = 123,685,443,484.66
  5. Step 5: Solve for x
    x = 123,685,443,484.66/396,056.44
  6. Step 6: Final answer
    x = 312,292.47

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Double scale
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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.