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Finding the Fourth Proportional to 259,144.72, 388,584.88 and 194,512.24

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Solution

The fourth proportional to 259,144.72, 388,584.88 and 194,512.24 is: 291,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,144.72 : 388,584.88 = 194,512.24 : x
  2. Step 2: Convert to fraction form
    259,144.72/388,584.88 = 194,512.24/x
  3. Step 3: Cross multiply
    259,144.72x = 388,584.88 × 194,512.24
  4. Step 4: Simplify right side
    259,144.72x = 75,584,515,438.93
  5. Step 5: Solve for x
    x = 75,584,515,438.93/259,144.72
  6. Step 6: Final answer
    x = 291,669.13

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1.5x scale

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.