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Finding the Fourth Proportional to 274,416.44, 411,622.29 and 214,495.26

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Solution

The fourth proportional to 274,416.44, 411,622.29 and 214,495.26 is: 321,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,416.44 : 411,622.29 = 214,495.26 : x
  2. Step 2: Convert to fraction form
    274,416.44/411,622.29 = 214,495.26/x
  3. Step 3: Cross multiply
    274,416.44x = 411,622.29 × 214,495.26
  4. Step 4: Simplify right side
    274,416.44x = 88,291,028,571.76
  5. Step 5: Solve for x
    x = 88,291,028,571.76/274,416.44
  6. Step 6: Final answer
    x = 321,741.04

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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.