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Finding the Fourth Proportional to 371,289.88, 512,380.52 and 201,524

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Solution

The fourth proportional to 371,289.88, 512,380.52 and 201,524 is: 278,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,289.88 : 512,380.52 = 201,524 : x
  2. Step 2: Convert to fraction form
    371,289.88/512,380.52 = 201,524/x
  3. Step 3: Cross multiply
    371,289.88x = 512,380.52 × 201,524
  4. Step 4: Simplify right side
    371,289.88x = 103,256,971,912.48
  5. Step 5: Solve for x
    x = 103,256,971,912.48/371,289.88
  6. Step 6: Final answer
    x = 278,103.38

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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.