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Finding the Fourth Proportional to 405,003.20, 607,213.20 and 227,564.60

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Solution

The fourth proportional to 405,003.20, 607,213.20 and 227,564.60 is: 341,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,003.20 : 607,213.20 = 227,564.60 : x
  2. Step 2: Convert to fraction form
    405,003.20/607,213.20 = 227,564.60/x
  3. Step 3: Cross multiply
    405,003.20x = 607,213.20 × 227,564.60
  4. Step 4: Simplify right side
    405,003.20x = 138,180,228,972.72
  5. Step 5: Solve for x
    x = 138,180,228,972.72/405,003.20
  6. Step 6: Final answer
    x = 341,183.05

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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.