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Finding the Fourth Proportional to 414,186.22, 620,467.38 and 214,637.50

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Solution

The fourth proportional to 414,186.22, 620,467.38 and 214,637.50 is: 321,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,186.22 : 620,467.38 = 214,637.50 : x
  2. Step 2: Convert to fraction form
    414,186.22/620,467.38 = 214,637.50/x
  3. Step 3: Cross multiply
    414,186.22x = 620,467.38 × 214,637.50
  4. Step 4: Simplify right side
    414,186.22x = 133,175,567,274.75
  5. Step 5: Solve for x
    x = 133,175,567,274.75/414,186.22
  6. Step 6: Final answer
    x = 321,535.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.