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Finding the Fourth Proportional to 589,453.38, 813,445.62 and 321,181.38

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Solution

The fourth proportional to 589,453.38, 813,445.62 and 321,181.38 is: 443,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,453.38 : 813,445.62 = 321,181.38 : x
  2. Step 2: Convert to fraction form
    589,453.38/813,445.62 = 321,181.38/x
  3. Step 3: Cross multiply
    589,453.38x = 813,445.62 × 321,181.38
  4. Step 4: Simplify right side
    589,453.38x = 261,263,586,786.56
  5. Step 5: Solve for x
    x = 261,263,586,786.56/589,453.38
  6. Step 6: Final answer
    x = 443,230.28

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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.