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Finding the Fourth Proportional to 214,319.21, 321,454.17 and 56,559.96

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Solution

The fourth proportional to 214,319.21, 321,454.17 and 56,559.96 is: 84,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,319.21 : 321,454.17 = 56,559.96 : x
  2. Step 2: Convert to fraction form
    214,319.21/321,454.17 = 56,559.96/x
  3. Step 3: Cross multiply
    214,319.21x = 321,454.17 × 56,559.96
  4. Step 4: Simplify right side
    214,319.21x = 18,181,434,997.03
  5. Step 5: Solve for x
    x = 18,181,434,997.03/214,319.21
  6. Step 6: Final answer
    x = 84,833.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.