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Finding the Fourth Proportional to 321,811.76, 444,186.38 and 200,880.23

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Solution

The fourth proportional to 321,811.76, 444,186.38 and 200,880.23 is: 277,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,811.76 : 444,186.38 = 200,880.23 : x
  2. Step 2: Convert to fraction form
    321,811.76/444,186.38 = 200,880.23/x
  3. Step 3: Cross multiply
    321,811.76x = 444,186.38 × 200,880.23
  4. Step 4: Simplify right side
    321,811.76x = 89,228,261,707.81
  5. Step 5: Solve for x
    x = 89,228,261,707.81/321,811.76
  6. Step 6: Final answer
    x = 277,268.49

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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.