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Finding the Fourth Proportional to 308,362.98, 462,576.20 and 116,399.09

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Solution

The fourth proportional to 308,362.98, 462,576.20 and 116,399.09 is: 174,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,362.98 : 462,576.20 = 116,399.09 : x
  2. Step 2: Convert to fraction form
    308,362.98/462,576.20 = 116,399.09/x
  3. Step 3: Cross multiply
    308,362.98x = 462,576.20 × 116,399.09
  4. Step 4: Simplify right side
    308,362.98x = 53,843,445,840.78
  5. Step 5: Solve for x
    x = 53,843,445,840.78/308,362.98
  6. Step 6: Final answer
    x = 174,610.60

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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.