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Finding the Fourth Proportional to 396,699.89, 595,049.84 and 116,217.14

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Solution

The fourth proportional to 396,699.89, 595,049.84 and 116,217.14 is: 174,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,699.89 : 595,049.84 = 116,217.14 : x
  2. Step 2: Convert to fraction form
    396,699.89/595,049.84 = 116,217.14/x
  3. Step 3: Cross multiply
    396,699.89x = 595,049.84 × 116,217.14
  4. Step 4: Simplify right side
    396,699.89x = 69,154,989,981.17
  5. Step 5: Solve for x
    x = 69,154,989,981.17/396,699.89
  6. Step 6: Final answer
    x = 174,325.71

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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.