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Finding the Fourth Proportional to 396,176.34, 546,719.33 and 214,884.37

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Solution

The fourth proportional to 396,176.34, 546,719.33 and 214,884.37 is: 296,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,176.34 : 546,719.33 = 214,884.37 : x
  2. Step 2: Convert to fraction form
    396,176.34/546,719.33 = 214,884.37/x
  3. Step 3: Cross multiply
    396,176.34x = 546,719.33 × 214,884.37
  4. Step 4: Simplify right side
    396,176.34x = 117,481,438,402.85
  5. Step 5: Solve for x
    x = 117,481,438,402.85/396,176.34
  6. Step 6: Final answer
    x = 296,538.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.