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Finding the Fourth Proportional to 493,824.80, 741,082.80 and 213,543.20

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Solution

The fourth proportional to 493,824.80, 741,082.80 and 213,543.20 is: 320,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,824.80 : 741,082.80 = 213,543.20 : x
  2. Step 2: Convert to fraction form
    493,824.80/741,082.80 = 213,543.20/x
  3. Step 3: Cross multiply
    493,824.80x = 741,082.80 × 213,543.20
  4. Step 4: Simplify right side
    493,824.80x = 158,253,192,576.96
  5. Step 5: Solve for x
    x = 158,253,192,576.96/493,824.80
  6. Step 6: Final answer
    x = 320,464.25

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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.