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Finding the Fourth Proportional to 416,099.80, 624,149.70 and 411,952.60

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Solution

The fourth proportional to 416,099.80, 624,149.70 and 411,952.60 is: 617,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,099.80 : 624,149.70 = 411,952.60 : x
  2. Step 2: Convert to fraction form
    416,099.80/624,149.70 = 411,952.60/x
  3. Step 3: Cross multiply
    416,099.80x = 624,149.70 × 411,952.60
  4. Step 4: Simplify right side
    416,099.80x = 257,120,091,704.22
  5. Step 5: Solve for x
    x = 257,120,091,704.22/416,099.80
  6. Step 6: Final answer
    x = 617,928.90

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1.5x scale

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.