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Finding the Fourth Proportional to 414,179.21, 620,456.88 and 214,630.49

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Solution

The fourth proportional to 414,179.21, 620,456.88 and 214,630.49 is: 321,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,179.21 : 620,456.88 = 214,630.49 : x
  2. Step 2: Convert to fraction form
    414,179.21/620,456.88 = 214,630.49/x
  3. Step 3: Cross multiply
    414,179.21x = 620,456.88 × 214,630.49
  4. Step 4: Simplify right side
    414,179.21x = 133,168,961,075.99
  5. Step 5: Solve for x
    x = 133,168,961,075.99/414,179.21
  6. Step 6: Final answer
    x = 321,524.98

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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.