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Finding the Fourth Proportional to 306,910.82, 423,558.22 and 186,057.20

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Solution

The fourth proportional to 306,910.82, 423,558.22 and 186,057.20 is: 256,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,910.82 : 423,558.22 = 186,057.20 : x
  2. Step 2: Convert to fraction form
    306,910.82/423,558.22 = 186,057.20/x
  3. Step 3: Cross multiply
    306,910.82x = 423,558.22 × 186,057.20
  4. Step 4: Simplify right side
    306,910.82x = 78,806,053,867.25
  5. Step 5: Solve for x
    x = 78,806,053,867.25/306,910.82
  6. Step 6: Final answer
    x = 256,771.84

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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.