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Finding the Fourth Proportional to 416,396.48, 624,825.66 and 203,166.14

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Solution

The fourth proportional to 416,396.48, 624,825.66 and 203,166.14 is: 304,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,396.48 : 624,825.66 = 203,166.14 : x
  2. Step 2: Convert to fraction form
    416,396.48/624,825.66 = 203,166.14/x
  3. Step 3: Cross multiply
    416,396.48x = 624,825.66 × 203,166.14
  4. Step 4: Simplify right side
    416,396.48x = 126,943,414,391.02
  5. Step 5: Solve for x
    x = 126,943,414,391.02/416,396.48
  6. Step 6: Final answer
    x = 304,861.89

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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.