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Finding the Fourth Proportional to 597,178.54, 895,894.17 and 197,796.70

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Solution

The fourth proportional to 597,178.54, 895,894.17 and 197,796.70 is: 296,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,178.54 : 895,894.17 = 197,796.70 : x
  2. Step 2: Convert to fraction form
    597,178.54/895,894.17 = 197,796.70/x
  3. Step 3: Cross multiply
    597,178.54x = 895,894.17 × 197,796.70
  4. Step 4: Simplify right side
    597,178.54x = 177,204,910,375.24
  5. Step 5: Solve for x
    x = 177,204,910,375.24/597,178.54
  6. Step 6: Final answer
    x = 296,736.90

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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.