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Finding the Fourth Proportional to 308,974.55, 463,735.20 and 182,456.60

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Solution

The fourth proportional to 308,974.55, 463,735.20 and 182,456.60 is: 273,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,974.55 : 463,735.20 = 182,456.60 : x
  2. Step 2: Convert to fraction form
    308,974.55/463,735.20 = 182,456.60/x
  3. Step 3: Cross multiply
    308,974.55x = 463,735.20 × 182,456.60
  4. Step 4: Simplify right side
    308,974.55x = 84,611,547,892.32
  5. Step 5: Solve for x
    x = 84,611,547,892.32/308,974.55
  6. Step 6: Final answer
    x = 273,846.33

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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.