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Finding the Fourth Proportional to 306,157.73, 422,495.39 and 170,204.09

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Solution

The fourth proportional to 306,157.73, 422,495.39 and 170,204.09 is: 234,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,157.73 : 422,495.39 = 170,204.09 : x
  2. Step 2: Convert to fraction form
    306,157.73/422,495.39 = 170,204.09/x
  3. Step 3: Cross multiply
    306,157.73x = 422,495.39 × 170,204.09
  4. Step 4: Simplify right side
    306,157.73x = 71,910,441,697.18
  5. Step 5: Solve for x
    x = 71,910,441,697.18/306,157.73
  6. Step 6: Final answer
    x = 234,880.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.