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Finding the Fourth Proportional to 416,193.20, 624,289.80 and 416,193.20

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Solution

The fourth proportional to 416,193.20, 624,289.80 and 416,193.20 is: 624,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,193.20 : 624,289.80 = 416,193.20 : x
  2. Step 2: Convert to fraction form
    416,193.20/624,289.80 = 416,193.20/x
  3. Step 3: Cross multiply
    416,193.20x = 624,289.80 × 416,193.20
  4. Step 4: Simplify right side
    416,193.20x = 259,825,169,589.36
  5. Step 5: Solve for x
    x = 259,825,169,589.36/416,193.20
  6. Step 6: Final answer
    x = 624,289.80

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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.