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Finding the Fourth Proportional to 463,774.25, 694,755.38 and 319,654.46

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Solution

The fourth proportional to 463,774.25, 694,755.38 and 319,654.46 is: 478,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,774.25 : 694,755.38 = 319,654.46 : x
  2. Step 2: Convert to fraction form
    463,774.25/694,755.38 = 319,654.46/x
  3. Step 3: Cross multiply
    463,774.25x = 694,755.38 × 319,654.46
  4. Step 4: Simplify right side
    463,774.25x = 222,081,658,362.02
  5. Step 5: Solve for x
    x = 222,081,658,362.02/463,774.25
  6. Step 6: Final answer
    x = 478,857.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.