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Finding the Fourth Proportional to 482,573.80, 724,142.94 and 202,067.56

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Solution

The fourth proportional to 482,573.80, 724,142.94 and 202,067.56 is: 303,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,573.80 : 724,142.94 = 202,067.56 : x
  2. Step 2: Convert to fraction form
    482,573.80/724,142.94 = 202,067.56/x
  3. Step 3: Cross multiply
    482,573.80x = 724,142.94 × 202,067.56
  4. Step 4: Simplify right side
    482,573.80x = 146,325,796,977.03
  5. Step 5: Solve for x
    x = 146,325,796,977.03/482,573.80
  6. Step 6: Final answer
    x = 303,219.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.