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Finding the Fourth Proportional to 260,001.40, 389,637.60 and 206,784.40

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Solution

The fourth proportional to 260,001.40, 389,637.60 and 206,784.40 is: 309,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,001.40 : 389,637.60 = 206,784.40 : x
  2. Step 2: Convert to fraction form
    260,001.40/389,637.60 = 206,784.40/x
  3. Step 3: Cross multiply
    260,001.40x = 389,637.60 × 206,784.40
  4. Step 4: Simplify right side
    260,001.40x = 80,570,977,333.44
  5. Step 5: Solve for x
    x = 80,570,977,333.44/260,001.40
  6. Step 6: Final answer
    x = 309,886.71

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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.