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Finding the Fourth Proportional to 297,506.73, 409,874.14 and 205,537.91

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Solution

The fourth proportional to 297,506.73, 409,874.14 and 205,537.91 is: 283,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,506.73 : 409,874.14 = 205,537.91 : x
  2. Step 2: Convert to fraction form
    297,506.73/409,874.14 = 205,537.91/x
  3. Step 3: Cross multiply
    297,506.73x = 409,874.14 × 205,537.91
  4. Step 4: Simplify right side
    297,506.73x = 84,244,674,609.49
  5. Step 5: Solve for x
    x = 84,244,674,609.49/297,506.73
  6. Step 6: Final answer
    x = 283,168.97

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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.