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Finding the Fourth Proportional to 281,324.34, 387,824.22 and 200,611.89

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Solution

The fourth proportional to 281,324.34, 387,824.22 and 200,611.89 is: 276,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,324.34 : 387,824.22 = 200,611.89 : x
  2. Step 2: Convert to fraction form
    281,324.34/387,824.22 = 200,611.89/x
  3. Step 3: Cross multiply
    281,324.34x = 387,824.22 × 200,611.89
  4. Step 4: Simplify right side
    281,324.34x = 77,802,149,761.98
  5. Step 5: Solve for x
    x = 77,802,149,761.98/281,324.34
  6. Step 6: Final answer
    x = 276,556.77

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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.