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Finding the Fourth Proportional to 308,022.80, 462,034.20 and 201,734.60

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Solution

The fourth proportional to 308,022.80, 462,034.20 and 201,734.60 is: 302,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,022.80 : 462,034.20 = 201,734.60 : x
  2. Step 2: Convert to fraction form
    308,022.80/462,034.20 = 201,734.60/x
  3. Step 3: Cross multiply
    308,022.80x = 462,034.20 × 201,734.60
  4. Step 4: Simplify right side
    308,022.80x = 93,208,284,523.32
  5. Step 5: Solve for x
    x = 93,208,284,523.32/308,022.80
  6. Step 6: Final answer
    x = 302,601.90

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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.