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Finding the Fourth Proportional to 505,857.88, 698,409.30 and 324,647.92

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Solution

The fourth proportional to 505,857.88, 698,409.30 and 324,647.92 is: 448,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,857.88 : 698,409.30 = 324,647.92 : x
  2. Step 2: Convert to fraction form
    505,857.88/698,409.30 = 324,647.92/x
  3. Step 3: Cross multiply
    505,857.88x = 698,409.30 × 324,647.92
  4. Step 4: Simplify right side
    505,857.88x = 226,737,126,553.66
  5. Step 5: Solve for x
    x = 226,737,126,553.66/505,857.88
  6. Step 6: Final answer
    x = 448,222.98

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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.