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Finding the Fourth Proportional to 505,853.88, 698,403.78 and 324,643.92

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Solution

The fourth proportional to 505,853.88, 698,403.78 and 324,643.92 is: 448,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,853.88 : 698,403.78 = 324,643.92 : x
  2. Step 2: Convert to fraction form
    505,853.88/698,403.78 = 324,643.92/x
  3. Step 3: Cross multiply
    505,853.88x = 698,403.78 × 324,643.92
  4. Step 4: Simplify right side
    505,853.88x = 226,732,540,882.02
  5. Step 5: Solve for x
    x = 226,732,540,882.02/505,853.88
  6. Step 6: Final answer
    x = 448,217.46

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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.