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Finding the Fourth Proportional to 241,540.30, 361,873.05 and 206,548.30

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Solution

The fourth proportional to 241,540.30, 361,873.05 and 206,548.30 is: 309,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,540.30 : 361,873.05 = 206,548.30 : x
  2. Step 2: Convert to fraction form
    241,540.30/361,873.05 = 206,548.30/x
  3. Step 3: Cross multiply
    241,540.30x = 361,873.05 × 206,548.30
  4. Step 4: Simplify right side
    241,540.30x = 74,744,263,293.32
  5. Step 5: Solve for x
    x = 74,744,263,293.32/241,540.30
  6. Step 6: Final answer
    x = 309,448.42

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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.