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Finding the Fourth Proportional to 322,383.82, 481,209.53 and 298,633

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Solution

The fourth proportional to 322,383.82, 481,209.53 and 298,633 is: 445,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,383.82 : 481,209.53 = 298,633 : x
  2. Step 2: Convert to fraction form
    322,383.82/481,209.53 = 298,633/x
  3. Step 3: Cross multiply
    322,383.82x = 481,209.53 × 298,633
  4. Step 4: Simplify right side
    322,383.82x = 143,705,045,572.49
  5. Step 5: Solve for x
    x = 143,705,045,572.49/322,383.82
  6. Step 6: Final answer
    x = 445,757.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.