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Finding the Fourth Proportional to 411,258, 616,899.12 and 111,736.96

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Solution

The fourth proportional to 411,258, 616,899.12 and 111,736.96 is: 167,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,258 : 616,899.12 = 111,736.96 : x
  2. Step 2: Convert to fraction form
    411,258/616,899.12 = 111,736.96/x
  3. Step 3: Cross multiply
    411,258x = 616,899.12 × 111,736.96
  4. Step 4: Simplify right side
    411,258x = 68,930,432,295.48
  5. Step 5: Solve for x
    x = 68,930,432,295.48/411,258
  6. Step 6: Final answer
    x = 167,608.73

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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.