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Finding the Fourth Proportional to 396,843.84, 595,258.08 and 116,354.88

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Solution

The fourth proportional to 396,843.84, 595,258.08 and 116,354.88 is: 174,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,843.84 : 595,258.08 = 116,354.88 : x
  2. Step 2: Convert to fraction form
    396,843.84/595,258.08 = 116,354.88/x
  3. Step 3: Cross multiply
    396,843.84x = 595,258.08 × 116,354.88
  4. Step 4: Simplify right side
    396,843.84x = 69,261,182,467.43
  5. Step 5: Solve for x
    x = 69,261,182,467.43/396,843.84
  6. Step 6: Final answer
    x = 174,530.07

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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.