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Finding the Fourth Proportional to 500,221.02, 690,240.66 and 285,348.24

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Solution

The fourth proportional to 500,221.02, 690,240.66 and 285,348.24 is: 393,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,221.02 : 690,240.66 = 285,348.24 : x
  2. Step 2: Convert to fraction form
    500,221.02/690,240.66 = 285,348.24/x
  3. Step 3: Cross multiply
    500,221.02x = 690,240.66 × 285,348.24
  4. Step 4: Simplify right side
    500,221.02x = 196,958,957,507.44
  5. Step 5: Solve for x
    x = 196,958,957,507.44/500,221.02
  6. Step 6: Final answer
    x = 393,743.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.