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Finding the Fourth Proportional to 260,407.48, 389,974.22 and 235,164

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Solution

The fourth proportional to 260,407.48, 389,974.22 and 235,164 is: 352,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,407.48 : 389,974.22 = 235,164 : x
  2. Step 2: Convert to fraction form
    260,407.48/389,974.22 = 235,164/x
  3. Step 3: Cross multiply
    260,407.48x = 389,974.22 × 235,164
  4. Step 4: Simplify right side
    260,407.48x = 91,707,897,472.08
  5. Step 5: Solve for x
    x = 91,707,897,472.08/260,407.48
  6. Step 6: Final answer
    x = 352,170.75

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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.