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Finding the Fourth Proportional to 396,960.94, 595,451.13 and 116,487.10

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Solution

The fourth proportional to 396,960.94, 595,451.13 and 116,487.10 is: 174,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,960.94 : 595,451.13 = 116,487.10 : x
  2. Step 2: Convert to fraction form
    396,960.94/595,451.13 = 116,487.10/x
  3. Step 3: Cross multiply
    396,960.94x = 595,451.13 × 116,487.10
  4. Step 4: Simplify right side
    396,960.94x = 69,362,375,325.42
  5. Step 5: Solve for x
    x = 69,362,375,325.42/396,960.94
  6. Step 6: Final answer
    x = 174,733.50

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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.