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Finding the Fourth Proportional to 461,287.32, 691,960.14 and 194,998.20

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Solution

The fourth proportional to 461,287.32, 691,960.14 and 194,998.20 is: 292,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,287.32 : 691,960.14 = 194,998.20 : x
  2. Step 2: Convert to fraction form
    461,287.32/691,960.14 = 194,998.20/x
  3. Step 3: Cross multiply
    461,287.32x = 691,960.14 × 194,998.20
  4. Step 4: Simplify right side
    461,287.32x = 134,930,981,771.75
  5. Step 5: Solve for x
    x = 134,930,981,771.75/461,287.32
  6. Step 6: Final answer
    x = 292,509.63

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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.