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Finding the Fourth Proportional to 308,969.76, 463,629.96 and 166,813.14

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Solution

The fourth proportional to 308,969.76, 463,629.96 and 166,813.14 is: 250,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,969.76 : 463,629.96 = 166,813.14 : x
  2. Step 2: Convert to fraction form
    308,969.76/463,629.96 = 166,813.14/x
  3. Step 3: Cross multiply
    308,969.76x = 463,629.96 × 166,813.14
  4. Step 4: Simplify right side
    308,969.76x = 77,339,569,425.67
  5. Step 5: Solve for x
    x = 77,339,569,425.67/308,969.76
  6. Step 6: Final answer
    x = 250,314.37

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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.