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Finding the Fourth Proportional to 396,825.66, 595,442.01 and 194,417.91

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Solution

The fourth proportional to 396,825.66, 595,442.01 and 194,417.91 is: 291,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,825.66 : 595,442.01 = 194,417.91 : x
  2. Step 2: Convert to fraction form
    396,825.66/595,442.01 = 194,417.91/x
  3. Step 3: Cross multiply
    396,825.66x = 595,442.01 × 194,417.91
  4. Step 4: Simplify right side
    396,825.66x = 115,764,591,110.40
  5. Step 5: Solve for x
    x = 115,764,591,110.40/396,825.66
  6. Step 6: Final answer
    x = 291,726.58

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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.