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Finding the Fourth Proportional to 414,396.42, 621,594.62 and 274,122.24

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Solution

The fourth proportional to 414,396.42, 621,594.62 and 274,122.24 is: 411,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,396.42 : 621,594.62 = 274,122.24 : x
  2. Step 2: Convert to fraction form
    414,396.42/621,594.62 = 274,122.24/x
  3. Step 3: Cross multiply
    414,396.42x = 621,594.62 × 274,122.24
  4. Step 4: Simplify right side
    414,396.42x = 170,392,909,606.35
  5. Step 5: Solve for x
    x = 170,392,909,606.35/414,396.42
  6. Step 6: Final answer
    x = 411,183.35

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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.