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Finding the Fourth Proportional to 297,489.48, 410,383.38 and 189,946.44

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Solution

The fourth proportional to 297,489.48, 410,383.38 and 189,946.44 is: 262,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,489.48 : 410,383.38 = 189,946.44 : x
  2. Step 2: Convert to fraction form
    297,489.48/410,383.38 = 189,946.44/x
  3. Step 3: Cross multiply
    297,489.48x = 410,383.38 × 189,946.44
  4. Step 4: Simplify right side
    297,489.48x = 77,950,862,066.17
  5. Step 5: Solve for x
    x = 77,950,862,066.17/297,489.48
  6. Step 6: Final answer
    x = 262,028.97

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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.