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Finding the Fourth Proportional to 306,198.26, 422,567.98 and 170,234.44

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Solution

The fourth proportional to 306,198.26, 422,567.98 and 170,234.44 is: 234,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,198.26 : 422,567.98 = 170,234.44 : x
  2. Step 2: Convert to fraction form
    306,198.26/422,567.98 = 170,234.44/x
  3. Step 3: Cross multiply
    306,198.26x = 422,567.98 × 170,234.44
  4. Step 4: Simplify right side
    306,198.26x = 71,935,623,437.23
  5. Step 5: Solve for x
    x = 71,935,623,437.23/306,198.26
  6. Step 6: Final answer
    x = 234,931.52

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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.