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Finding the Fourth Proportional to 589,494.44, 813,502.14 and 321,222.44

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Solution

The fourth proportional to 589,494.44, 813,502.14 and 321,222.44 is: 443,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,494.44 : 813,502.14 = 321,222.44 : x
  2. Step 2: Convert to fraction form
    589,494.44/813,502.14 = 321,222.44/x
  3. Step 3: Cross multiply
    589,494.44x = 813,502.14 × 321,222.44
  4. Step 4: Simplify right side
    589,494.44x = 261,315,142,356.02
  5. Step 5: Solve for x
    x = 261,315,142,356.02/589,494.44
  6. Step 6: Final answer
    x = 443,286.87

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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.