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Finding the Fourth Proportional to 308,212.20, 461,540.70 and 202,458.60

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Solution

The fourth proportional to 308,212.20, 461,540.70 and 202,458.60 is: 303,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,212.20 : 461,540.70 = 202,458.60 : x
  2. Step 2: Convert to fraction form
    308,212.20/461,540.70 = 202,458.60/x
  3. Step 3: Cross multiply
    308,212.20x = 461,540.70 × 202,458.60
  4. Step 4: Simplify right side
    308,212.20x = 93,442,883,965.02
  5. Step 5: Solve for x
    x = 93,442,883,965.02/308,212.20
  6. Step 6: Final answer
    x = 303,177.11

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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.