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Finding the Fourth Proportional to 310,310.80, 465,466.20 and 204,022.60

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Solution

The fourth proportional to 310,310.80, 465,466.20 and 204,022.60 is: 306,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,310.80 : 465,466.20 = 204,022.60 : x
  2. Step 2: Convert to fraction form
    310,310.80/465,466.20 = 204,022.60/x
  3. Step 3: Cross multiply
    310,310.80x = 465,466.20 × 204,022.60
  4. Step 4: Simplify right side
    310,310.80x = 94,965,624,336.12
  5. Step 5: Solve for x
    x = 94,965,624,336.12/310,310.80
  6. Step 6: Final answer
    x = 306,033.90

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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.