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Finding the Fourth Proportional to 396,583.76, 547,251.72 and 226,790.48

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Solution

The fourth proportional to 396,583.76, 547,251.72 and 226,790.48 is: 312,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,583.76 : 547,251.72 = 226,790.48 : x
  2. Step 2: Convert to fraction form
    396,583.76/547,251.72 = 226,790.48/x
  3. Step 3: Cross multiply
    396,583.76x = 547,251.72 × 226,790.48
  4. Step 4: Simplify right side
    396,583.76x = 124,111,480,259.63
  5. Step 5: Solve for x
    x = 124,111,480,259.63/396,583.76
  6. Step 6: Final answer
    x = 312,951.49

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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.