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Finding the Fourth Proportional to 308,573.37, 462,112.56 and 213,537.24

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Solution

The fourth proportional to 308,573.37, 462,112.56 and 213,537.24 is: 319,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,573.37 : 462,112.56 = 213,537.24 : x
  2. Step 2: Convert to fraction form
    308,573.37/462,112.56 = 213,537.24/x
  3. Step 3: Cross multiply
    308,573.37x = 462,112.56 × 213,537.24
  4. Step 4: Simplify right side
    308,573.37x = 98,678,240,631.73
  5. Step 5: Solve for x
    x = 98,678,240,631.73/308,573.37
  6. Step 6: Final answer
    x = 319,788.58

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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.