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Finding the Fourth Proportional to 214,402.60, 321,619.38 and 56,629

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Solution

The fourth proportional to 214,402.60, 321,619.38 and 56,629 is: 84,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,402.60 : 321,619.38 = 56,629 : x
  2. Step 2: Convert to fraction form
    214,402.60/321,619.38 = 56,629/x
  3. Step 3: Cross multiply
    214,402.60x = 321,619.38 × 56,629
  4. Step 4: Simplify right side
    214,402.60x = 18,212,983,870.02
  5. Step 5: Solve for x
    x = 18,212,983,870.02/214,402.60
  6. Step 6: Final answer
    x = 84,947.59

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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.