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Finding the Fourth Proportional to 396,925.92, 595,398.60 and 116,442.36

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Solution

The fourth proportional to 396,925.92, 595,398.60 and 116,442.36 is: 174,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,925.92 : 595,398.60 = 116,442.36 : x
  2. Step 2: Convert to fraction form
    396,925.92/595,398.60 = 116,442.36/x
  3. Step 3: Cross multiply
    396,925.92x = 595,398.60 × 116,442.36
  4. Step 4: Simplify right side
    396,925.92x = 69,329,618,124.70
  5. Step 5: Solve for x
    x = 69,329,618,124.70/396,925.92
  6. Step 6: Final answer
    x = 174,666.39

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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.