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Finding the Fourth Proportional to 327,164.60, 458,497 and 327,164.60

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Solution

The fourth proportional to 327,164.60, 458,497 and 327,164.60 is: 458,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,164.60 : 458,497 = 327,164.60 : x
  2. Step 2: Convert to fraction form
    327,164.60/458,497 = 327,164.60/x
  3. Step 3: Cross multiply
    327,164.60x = 458,497 × 327,164.60
  4. Step 4: Simplify right side
    327,164.60x = 150,003,987,606.20
  5. Step 5: Solve for x
    x = 150,003,987,606.20/327,164.60
  6. Step 6: Final answer
    x = 458,497

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.