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Finding the Fourth Proportional to 396,920.94, 595,391.13 and 116,447.10

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Solution

The fourth proportional to 396,920.94, 595,391.13 and 116,447.10 is: 174,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,920.94 : 595,391.13 = 116,447.10 : x
  2. Step 2: Convert to fraction form
    396,920.94/595,391.13 = 116,447.10/x
  3. Step 3: Cross multiply
    396,920.94x = 595,391.13 × 116,447.10
  4. Step 4: Simplify right side
    396,920.94x = 69,331,570,454.22
  5. Step 5: Solve for x
    x = 69,331,570,454.22/396,920.94
  6. Step 6: Final answer
    x = 174,673.50

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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.