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Finding the Fourth Proportional to 260,301.60, 389,588.40 and 189,021.60

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Solution

The fourth proportional to 260,301.60, 389,588.40 and 189,021.60 is: 282,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,301.60 : 389,588.40 = 189,021.60 : x
  2. Step 2: Convert to fraction form
    260,301.60/389,588.40 = 189,021.60/x
  3. Step 3: Cross multiply
    260,301.60x = 389,588.40 × 189,021.60
  4. Step 4: Simplify right side
    260,301.60x = 73,640,622,709.44
  5. Step 5: Solve for x
    x = 73,640,622,709.44/260,301.60
  6. Step 6: Final answer
    x = 282,904.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.