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Finding the Fourth Proportional to 334,057.74, 460,979.84 and 198,104.52

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Solution

The fourth proportional to 334,057.74, 460,979.84 and 198,104.52 is: 273,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,057.74 : 460,979.84 = 198,104.52 : x
  2. Step 2: Convert to fraction form
    334,057.74/460,979.84 = 198,104.52/x
  3. Step 3: Cross multiply
    334,057.74x = 460,979.84 × 198,104.52
  4. Step 4: Simplify right side
    334,057.74x = 91,322,189,932.88
  5. Step 5: Solve for x
    x = 91,322,189,932.88/334,057.74
  6. Step 6: Final answer
    x = 273,372.47

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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.