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Finding the Fourth Proportional to 461,134.20, 691,830.90 and 195,022.20

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Solution

The fourth proportional to 461,134.20, 691,830.90 and 195,022.20 is: 292,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,134.20 : 691,830.90 = 195,022.20 : x
  2. Step 2: Convert to fraction form
    461,134.20/691,830.90 = 195,022.20/x
  3. Step 3: Cross multiply
    461,134.20x = 691,830.90 × 195,022.20
  4. Step 4: Simplify right side
    461,134.20x = 134,922,384,145.98
  5. Step 5: Solve for x
    x = 134,922,384,145.98/461,134.20
  6. Step 6: Final answer
    x = 292,588.11

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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.