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Finding the Fourth Proportional to 308,013.52, 460,896.24 and 181,714.27

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Solution

The fourth proportional to 308,013.52, 460,896.24 and 181,714.27 is: 271,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,013.52 : 460,896.24 = 181,714.27 : x
  2. Step 2: Convert to fraction form
    308,013.52/460,896.24 = 181,714.27/x
  3. Step 3: Cross multiply
    308,013.52x = 460,896.24 × 181,714.27
  4. Step 4: Simplify right side
    308,013.52x = 83,751,424,190.71
  5. Step 5: Solve for x
    x = 83,751,424,190.71/308,013.52
  6. Step 6: Final answer
    x = 271,908.27

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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.