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Finding the Fourth Proportional to 417,964.70, 576,883.14 and 274,738.08

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Solution

The fourth proportional to 417,964.70, 576,883.14 and 274,738.08 is: 379,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,964.70 : 576,883.14 = 274,738.08 : x
  2. Step 2: Convert to fraction form
    417,964.70/576,883.14 = 274,738.08/x
  3. Step 3: Cross multiply
    417,964.70x = 576,883.14 × 274,738.08
  4. Step 4: Simplify right side
    417,964.70x = 158,491,766,267.97
  5. Step 5: Solve for x
    x = 158,491,766,267.97/417,964.70
  6. Step 6: Final answer
    x = 379,198.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.