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Finding the Fourth Proportional to 331,891, 458,044.14 and 204,563.32

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Solution

The fourth proportional to 331,891, 458,044.14 and 204,563.32 is: 282,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,891 : 458,044.14 = 204,563.32 : x
  2. Step 2: Convert to fraction form
    331,891/458,044.14 = 204,563.32/x
  3. Step 3: Cross multiply
    331,891x = 458,044.14 × 204,563.32
  4. Step 4: Simplify right side
    331,891x = 93,699,029,984.94
  5. Step 5: Solve for x
    x = 93,699,029,984.94/331,891
  6. Step 6: Final answer
    x = 282,318.68

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1.5x scale

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.