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Finding the Fourth Proportional to 496,046.55, 684,540.84 and 269,692.05

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Solution

The fourth proportional to 496,046.55, 684,540.84 and 269,692.05 is: 372,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,046.55 : 684,540.84 = 269,692.05 : x
  2. Step 2: Convert to fraction form
    496,046.55/684,540.84 = 269,692.05/x
  3. Step 3: Cross multiply
    496,046.55x = 684,540.84 × 269,692.05
  4. Step 4: Simplify right side
    496,046.55x = 184,615,222,448.32
  5. Step 5: Solve for x
    x = 184,615,222,448.32/496,046.55
  6. Step 6: Final answer
    x = 372,173.18

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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.