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Finding the Fourth Proportional to 548,400.40, 822,082.20 and 323,933.20

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Solution

The fourth proportional to 548,400.40, 822,082.20 and 323,933.20 is: 485,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,400.40 : 822,082.20 = 323,933.20 : x
  2. Step 2: Convert to fraction form
    548,400.40/822,082.20 = 323,933.20/x
  3. Step 3: Cross multiply
    548,400.40x = 822,082.20 × 323,933.20
  4. Step 4: Simplify right side
    548,400.40x = 266,299,717,709.04
  5. Step 5: Solve for x
    x = 266,299,717,709.04/548,400.40
  6. Step 6: Final answer
    x = 485,593.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.