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Finding the Fourth Proportional to 227,914.20, 341,871.30 and 214,792.20

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Solution

The fourth proportional to 227,914.20, 341,871.30 and 214,792.20 is: 322,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,914.20 : 341,871.30 = 214,792.20 : x
  2. Step 2: Convert to fraction form
    227,914.20/341,871.30 = 214,792.20/x
  3. Step 3: Cross multiply
    227,914.20x = 341,871.30 × 214,792.20
  4. Step 4: Simplify right side
    227,914.20x = 73,431,288,643.86
  5. Step 5: Solve for x
    x = 73,431,288,643.86/227,914.20
  6. Step 6: Final answer
    x = 322,188.30

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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.