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Finding the Fourth Proportional to 308,124.38, 461,880.39 and 214,433.30

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Solution

The fourth proportional to 308,124.38, 461,880.39 and 214,433.30 is: 321,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,124.38 : 461,880.39 = 214,433.30 : x
  2. Step 2: Convert to fraction form
    308,124.38/461,880.39 = 214,433.30/x
  3. Step 3: Cross multiply
    308,124.38x = 461,880.39 × 214,433.30
  4. Step 4: Simplify right side
    308,124.38x = 99,042,538,191.81
  5. Step 5: Solve for x
    x = 99,042,538,191.81/308,124.38
  6. Step 6: Final answer
    x = 321,436.87

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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.