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Finding the Fourth Proportional to 260,694.32, 359,920.67 and 200,144.39

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Solution

The fourth proportional to 260,694.32, 359,920.67 and 200,144.39 is: 276,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,694.32 : 359,920.67 = 200,144.39 : x
  2. Step 2: Convert to fraction form
    260,694.32/359,920.67 = 200,144.39/x
  3. Step 3: Cross multiply
    260,694.32x = 359,920.67 × 200,144.39
  4. Step 4: Simplify right side
    260,694.32x = 72,036,100,145.22
  5. Step 5: Solve for x
    x = 72,036,100,145.22/260,694.32
  6. Step 6: Final answer
    x = 276,324.02

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1.5x scale

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.