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Finding the Fourth Proportional to 500,082.44, 690,118.08 and 285,233.39

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Solution

The fourth proportional to 500,082.44, 690,118.08 and 285,233.39 is: 393,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,082.44 : 690,118.08 = 285,233.39 : x
  2. Step 2: Convert to fraction form
    500,082.44/690,118.08 = 285,233.39/x
  3. Step 3: Cross multiply
    500,082.44x = 690,118.08 × 285,233.39
  4. Step 4: Simplify right side
    500,082.44x = 196,844,719,458.69
  5. Step 5: Solve for x
    x = 196,844,719,458.69/500,082.44
  6. Step 6: Final answer
    x = 393,624.54

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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.