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Finding the Fourth Proportional to 505,861.88, 698,414.82 and 324,651.92

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Solution

The fourth proportional to 505,861.88, 698,414.82 and 324,651.92 is: 448,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,861.88 : 698,414.82 = 324,651.92 : x
  2. Step 2: Convert to fraction form
    505,861.88/698,414.82 = 324,651.92/x
  3. Step 3: Cross multiply
    505,861.88x = 698,414.82 × 324,651.92
  4. Step 4: Simplify right side
    505,861.88x = 226,741,712,269.45
  5. Step 5: Solve for x
    x = 226,741,712,269.45/505,861.88
  6. Step 6: Final answer
    x = 448,228.50

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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.