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Finding the Fourth Proportional to 414,180.18, 620,458.33 and 214,631.46

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Solution

The fourth proportional to 414,180.18, 620,458.33 and 214,631.46 is: 321,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,180.18 : 620,458.33 = 214,631.46 : x
  2. Step 2: Convert to fraction form
    414,180.18/620,458.33 = 214,631.46/x
  3. Step 3: Cross multiply
    414,180.18x = 620,458.33 × 214,631.46
  4. Step 4: Simplify right side
    414,180.18x = 133,169,877,237.06
  5. Step 5: Solve for x
    x = 133,169,877,237.06/414,180.18
  6. Step 6: Final answer
    x = 321,526.44

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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.