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Finding the Fourth Proportional to 411,099.44, 616,690.20 and 111,584.84

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Solution

The fourth proportional to 411,099.44, 616,690.20 and 111,584.84 is: 167,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,099.44 : 616,690.20 = 111,584.84 : x
  2. Step 2: Convert to fraction form
    411,099.44/616,690.20 = 111,584.84/x
  3. Step 3: Cross multiply
    411,099.44x = 616,690.20 × 111,584.84
  4. Step 4: Simplify right side
    411,099.44x = 68,813,277,296.57
  5. Step 5: Solve for x
    x = 68,813,277,296.57/411,099.44
  6. Step 6: Final answer
    x = 167,388.40

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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.