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Finding the Fourth Proportional to 396,538.96, 547,437 and 305,695.84

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Solution

The fourth proportional to 396,538.96, 547,437 and 305,695.84 is: 422,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,538.96 : 547,437 = 305,695.84 : x
  2. Step 2: Convert to fraction form
    396,538.96/547,437 = 305,695.84/x
  3. Step 3: Cross multiply
    396,538.96x = 547,437 × 305,695.84
  4. Step 4: Simplify right side
    396,538.96x = 167,349,213,562.08
  5. Step 5: Solve for x
    x = 167,349,213,562.08/396,538.96
  6. Step 6: Final answer
    x = 422,024.64

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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.