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Finding the Fourth Proportional to 463,083.78, 638,443 and 333,914.16

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Solution

The fourth proportional to 463,083.78, 638,443 and 333,914.16 is: 460,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,083.78 : 638,443 = 333,914.16 : x
  2. Step 2: Convert to fraction form
    463,083.78/638,443 = 333,914.16/x
  3. Step 3: Cross multiply
    463,083.78x = 638,443 × 333,914.16
  4. Step 4: Simplify right side
    463,083.78x = 213,185,158,052.88
  5. Step 5: Solve for x
    x = 213,185,158,052.88/463,083.78
  6. Step 6: Final answer
    x = 460,359.80

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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.