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Finding the Fourth Proportional to 334,711.44, 461,879.82 and 198,738.36

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Solution

The fourth proportional to 334,711.44, 461,879.82 and 198,738.36 is: 274,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,711.44 : 461,879.82 = 198,738.36 : x
  2. Step 2: Convert to fraction form
    334,711.44/461,879.82 = 198,738.36/x
  3. Step 3: Cross multiply
    334,711.44x = 461,879.82 × 198,738.36
  4. Step 4: Simplify right side
    334,711.44x = 91,793,237,943.90
  5. Step 5: Solve for x
    x = 91,793,237,943.90/334,711.44
  6. Step 6: Final answer
    x = 274,245.89

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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.