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Finding the Fourth Proportional to 405,226.20, 607,183.20 and 381,606.60

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Solution

The fourth proportional to 405,226.20, 607,183.20 and 381,606.60 is: 571,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,226.20 : 607,183.20 = 381,606.60 : x
  2. Step 2: Convert to fraction form
    405,226.20/607,183.20 = 381,606.60/x
  3. Step 3: Cross multiply
    405,226.20x = 607,183.20 × 381,606.60
  4. Step 4: Simplify right side
    405,226.20x = 231,705,116,529.12
  5. Step 5: Solve for x
    x = 231,705,116,529.12/405,226.20
  6. Step 6: Final answer
    x = 571,792.04

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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.