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Finding the Fourth Proportional to 416,034.70, 624,052.05 and 409,813.90

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Solution

The fourth proportional to 416,034.70, 624,052.05 and 409,813.90 is: 614,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,034.70 : 624,052.05 = 409,813.90 : x
  2. Step 2: Convert to fraction form
    416,034.70/624,052.05 = 409,813.90/x
  3. Step 3: Cross multiply
    416,034.70x = 624,052.05 × 409,813.90
  4. Step 4: Simplify right side
    416,034.70x = 255,745,204,413.50
  5. Step 5: Solve for x
    x = 255,745,204,413.50/416,034.70
  6. Step 6: Final answer
    x = 614,720.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.