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Finding the Fourth Proportional to 463,086.27, 638,446.45 and 333,916.65

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Solution

The fourth proportional to 463,086.27, 638,446.45 and 333,916.65 is: 460,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,086.27 : 638,446.45 = 333,916.65 : x
  2. Step 2: Convert to fraction form
    463,086.27/638,446.45 = 333,916.65/x
  3. Step 3: Cross multiply
    463,086.27x = 638,446.45 × 333,916.65
  4. Step 4: Simplify right side
    463,086.27x = 213,187,899,788.39
  5. Step 5: Solve for x
    x = 213,187,899,788.39/463,086.27
  6. Step 6: Final answer
    x = 460,363.25

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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.