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Finding the Fourth Proportional to 416,234.40, 624,351.60 and 410,013.60

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Solution

The fourth proportional to 416,234.40, 624,351.60 and 410,013.60 is: 615,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,234.40 : 624,351.60 = 410,013.60 : x
  2. Step 2: Convert to fraction form
    416,234.40/624,351.60 = 410,013.60/x
  3. Step 3: Cross multiply
    416,234.40x = 624,351.60 × 410,013.60
  4. Step 4: Simplify right side
    416,234.40x = 255,992,647,181.76
  5. Step 5: Solve for x
    x = 255,992,647,181.76/416,234.40
  6. Step 6: Final answer
    x = 615,020.40

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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.