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Finding the Fourth Proportional to 505,092.21, 697,043.56 and 287,295.29

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Solution

The fourth proportional to 505,092.21, 697,043.56 and 287,295.29 is: 396,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,092.21 : 697,043.56 = 287,295.29 : x
  2. Step 2: Convert to fraction form
    505,092.21/697,043.56 = 287,295.29/x
  3. Step 3: Cross multiply
    505,092.21x = 697,043.56 × 287,295.29
  4. Step 4: Simplify right side
    505,092.21x = 200,257,331,469.99
  5. Step 5: Solve for x
    x = 200,257,331,469.99/505,092.21
  6. Step 6: Final answer
    x = 396,476.78

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1.5x scale

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.