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Finding the Fourth Proportional to 308,576, 462,207.72 and 182,079.92

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Solution

The fourth proportional to 308,576, 462,207.72 and 182,079.92 is: 272,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,576 : 462,207.72 = 182,079.92 : x
  2. Step 2: Convert to fraction form
    308,576/462,207.72 = 182,079.92/x
  3. Step 3: Cross multiply
    308,576x = 462,207.72 × 182,079.92
  4. Step 4: Simplify right side
    308,576x = 84,158,744,680.98
  5. Step 5: Solve for x
    x = 84,158,744,680.98/308,576
  6. Step 6: Final answer
    x = 272,732.63

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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.