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Finding the Fourth Proportional to 589,435.26, 813,420.64 and 321,163.26

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Solution

The fourth proportional to 589,435.26, 813,420.64 and 321,163.26 is: 443,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,435.26 : 813,420.64 = 321,163.26 : x
  2. Step 2: Convert to fraction form
    589,435.26/813,420.64 = 321,163.26/x
  3. Step 3: Cross multiply
    589,435.26x = 813,420.64 × 321,163.26
  4. Step 4: Simplify right side
    589,435.26x = 261,240,824,493.69
  5. Step 5: Solve for x
    x = 261,240,824,493.69/589,435.26
  6. Step 6: Final answer
    x = 443,205.29

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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.