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Finding the Fourth Proportional to 414,395.42, 621,593.12 and 274,121.24

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Solution

The fourth proportional to 414,395.42, 621,593.12 and 274,121.24 is: 411,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,395.42 : 621,593.12 = 274,121.24 : x
  2. Step 2: Convert to fraction form
    414,395.42/621,593.12 = 274,121.24/x
  3. Step 3: Cross multiply
    414,395.42x = 621,593.12 × 274,121.24
  4. Step 4: Simplify right side
    414,395.42x = 170,391,874,407.21
  5. Step 5: Solve for x
    x = 170,391,874,407.21/414,395.42
  6. Step 6: Final answer
    x = 411,181.85

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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.