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Finding the Fourth Proportional to 461,161.80, 691,839.90 and 194,785.20

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Solution

The fourth proportional to 461,161.80, 691,839.90 and 194,785.20 is: 292,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,161.80 : 691,839.90 = 194,785.20 : x
  2. Step 2: Convert to fraction form
    461,161.80/691,839.90 = 194,785.20/x
  3. Step 3: Cross multiply
    461,161.80x = 691,839.90 × 194,785.20
  4. Step 4: Simplify right side
    461,161.80x = 134,760,173,289.48
  5. Step 5: Solve for x
    x = 134,760,173,289.48/461,161.80
  6. Step 6: Final answer
    x = 292,218.86

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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.