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Finding the Fourth Proportional to 431,803.82, 647,550.12 and 182,505.26

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Solution

The fourth proportional to 431,803.82, 647,550.12 and 182,505.26 is: 273,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,803.82 : 647,550.12 = 182,505.26 : x
  2. Step 2: Convert to fraction form
    431,803.82/647,550.12 = 182,505.26/x
  3. Step 3: Cross multiply
    431,803.82x = 647,550.12 × 182,505.26
  4. Step 4: Simplify right side
    431,803.82x = 118,181,303,013.63
  5. Step 5: Solve for x
    x = 118,181,303,013.63/431,803.82
  6. Step 6: Final answer
    x = 273,692.12

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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.