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Finding the Fourth Proportional to 325,216.14, 487,824.20 and 214,382.22

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Solution

The fourth proportional to 325,216.14, 487,824.20 and 214,382.22 is: 321,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,216.14 : 487,824.20 = 214,382.22 : x
  2. Step 2: Convert to fraction form
    325,216.14/487,824.20 = 214,382.22/x
  3. Step 3: Cross multiply
    325,216.14x = 487,824.20 × 214,382.22
  4. Step 4: Simplify right side
    325,216.14x = 104,580,834,965.72
  5. Step 5: Solve for x
    x = 104,580,834,965.72/325,216.14
  6. Step 6: Final answer
    x = 321,573.32

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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.