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Finding the Fourth Proportional to 396,477.34, 547,139.24 and 215,189.22

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Solution

The fourth proportional to 396,477.34, 547,139.24 and 215,189.22 is: 296,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,477.34 : 547,139.24 = 215,189.22 : x
  2. Step 2: Convert to fraction form
    396,477.34/547,139.24 = 215,189.22/x
  3. Step 3: Cross multiply
    396,477.34x = 547,139.24 × 215,189.22
  4. Step 4: Simplify right side
    396,477.34x = 117,738,462,475.35
  5. Step 5: Solve for x
    x = 117,738,462,475.35/396,477.34
  6. Step 6: Final answer
    x = 296,961.39

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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.