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Finding the Fourth Proportional to 321,566.26, 443,774.61 and 194,216.98

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Solution

The fourth proportional to 321,566.26, 443,774.61 and 194,216.98 is: 268,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,566.26 : 443,774.61 = 194,216.98 : x
  2. Step 2: Convert to fraction form
    321,566.26/443,774.61 = 194,216.98/x
  3. Step 3: Cross multiply
    321,566.26x = 443,774.61 × 194,216.98
  4. Step 4: Simplify right side
    321,566.26x = 86,188,564,554.88
  5. Step 5: Solve for x
    x = 86,188,564,554.88/321,566.26
  6. Step 6: Final answer
    x = 268,027.39

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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.