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Finding the Fourth Proportional to 540,229.80, 810,853.18 and 274,181.25

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Solution

The fourth proportional to 540,229.80, 810,853.18 and 274,181.25 is: 411,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,229.80 : 810,853.18 = 274,181.25 : x
  2. Step 2: Convert to fraction form
    540,229.80/810,853.18 = 274,181.25/x
  3. Step 3: Cross multiply
    540,229.80x = 810,853.18 × 274,181.25
  4. Step 4: Simplify right side
    540,229.80x = 222,320,737,773.42
  5. Step 5: Solve for x
    x = 222,320,737,773.42/540,229.80
  6. Step 6: Final answer
    x = 411,529.94

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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.