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Finding the Fourth Proportional to 589,433.25, 813,417.89 and 321,161.25

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Solution

The fourth proportional to 589,433.25, 813,417.89 and 321,161.25 is: 443,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,433.25 : 813,417.89 = 321,161.25 : x
  2. Step 2: Convert to fraction form
    589,433.25/813,417.89 = 321,161.25/x
  3. Step 3: Cross multiply
    589,433.25x = 813,417.89 × 321,161.25
  4. Step 4: Simplify right side
    589,433.25x = 261,238,304,718.96
  5. Step 5: Solve for x
    x = 261,238,304,718.96/589,433.25
  6. Step 6: Final answer
    x = 443,202.53

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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.