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Finding the Fourth Proportional to 396,830.76, 595,242.87 and 160,169.82

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Solution

The fourth proportional to 396,830.76, 595,242.87 and 160,169.82 is: 240,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,830.76 : 595,242.87 = 160,169.82 : x
  2. Step 2: Convert to fraction form
    396,830.76/595,242.87 = 160,169.82/x
  3. Step 3: Cross multiply
    396,830.76x = 595,242.87 × 160,169.82
  4. Step 4: Simplify right side
    396,830.76x = 95,339,943,344.18
  5. Step 5: Solve for x
    x = 95,339,943,344.18/396,830.76
  6. Step 6: Final answer
    x = 240,253.41

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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.