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Finding the Fourth Proportional to 308,024.30, 460,912.43 and 181,725.05

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Solution

The fourth proportional to 308,024.30, 460,912.43 and 181,725.05 is: 271,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,024.30 : 460,912.43 = 181,725.05 : x
  2. Step 2: Convert to fraction form
    308,024.30/460,912.43 = 181,725.05/x
  3. Step 3: Cross multiply
    308,024.30x = 460,912.43 × 181,725.05
  4. Step 4: Simplify right side
    308,024.30x = 83,759,331,174.18
  5. Step 5: Solve for x
    x = 83,759,331,174.18/308,024.30
  6. Step 6: Final answer
    x = 271,924.43

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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.