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Finding the Fourth Proportional to 589,450.38, 813,441.48 and 321,178.38

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Solution

The fourth proportional to 589,450.38, 813,441.48 and 321,178.38 is: 443,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,450.38 : 813,441.48 = 321,178.38 : x
  2. Step 2: Convert to fraction form
    589,450.38/813,441.48 = 321,178.38/x
  3. Step 3: Cross multiply
    589,450.38x = 813,441.48 × 321,178.38
  4. Step 4: Simplify right side
    589,450.38x = 261,259,816,771.20
  5. Step 5: Solve for x
    x = 261,259,816,771.20/589,450.38
  6. Step 6: Final answer
    x = 443,226.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.