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Finding the Fourth Proportional to 463,659.78, 639,914.92 and 335,014.36

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Solution

The fourth proportional to 463,659.78, 639,914.92 and 335,014.36 is: 462,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,659.78 : 639,914.92 = 335,014.36 : x
  2. Step 2: Convert to fraction form
    463,659.78/639,914.92 = 335,014.36/x
  3. Step 3: Cross multiply
    463,659.78x = 639,914.92 × 335,014.36
  4. Step 4: Simplify right side
    463,659.78x = 214,380,687,378.25
  5. Step 5: Solve for x
    x = 214,380,687,378.25/463,659.78
  6. Step 6: Final answer
    x = 462,366.37

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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.