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Finding the Fourth Proportional to 334,620.78, 461,573.82 and 198,565.08

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Solution

The fourth proportional to 334,620.78, 461,573.82 and 198,565.08 is: 273,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,620.78 : 461,573.82 = 198,565.08 : x
  2. Step 2: Convert to fraction form
    334,620.78/461,573.82 = 198,565.08/x
  3. Step 3: Cross multiply
    334,620.78x = 461,573.82 × 198,565.08
  4. Step 4: Simplify right side
    334,620.78x = 91,652,442,494.21
  5. Step 5: Solve for x
    x = 91,652,442,494.21/334,620.78
  6. Step 6: Final answer
    x = 273,899.43

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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.