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Finding the Fourth Proportional to 461,105.88, 691,719.30 and 180,586.68

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Solution

The fourth proportional to 461,105.88, 691,719.30 and 180,586.68 is: 270,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,105.88 : 691,719.30 = 180,586.68 : x
  2. Step 2: Convert to fraction form
    461,105.88/691,719.30 = 180,586.68/x
  3. Step 3: Cross multiply
    461,105.88x = 691,719.30 × 180,586.68
  4. Step 4: Simplify right side
    461,105.88x = 124,915,291,878.92
  5. Step 5: Solve for x
    x = 124,915,291,878.92/461,105.88
  6. Step 6: Final answer
    x = 270,903.71

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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.