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Finding the Fourth Proportional to 396,774.68, 595,082.42 and 194,283.54

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Solution

The fourth proportional to 396,774.68, 595,082.42 and 194,283.54 is: 291,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,774.68 : 595,082.42 = 194,283.54 : x
  2. Step 2: Convert to fraction form
    396,774.68/595,082.42 = 194,283.54/x
  3. Step 3: Cross multiply
    396,774.68x = 595,082.42 × 194,283.54
  4. Step 4: Simplify right side
    396,774.68x = 115,614,718,177.95
  5. Step 5: Solve for x
    x = 115,614,718,177.95/396,774.68
  6. Step 6: Final answer
    x = 291,386.33

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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.