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Finding the Fourth Proportional to 200,576, 300,864 and 52,832

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Solution

The fourth proportional to 200,576, 300,864 and 52,832 is: 79,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,576 : 300,864 = 52,832 : x
  2. Step 2: Convert to fraction form
    200,576/300,864 = 52,832/x
  3. Step 3: Cross multiply
    200,576x = 300,864 × 52,832
  4. Step 4: Simplify right side
    200,576x = 15,895,246,848
  5. Step 5: Solve for x
    x = 15,895,246,848/200,576
  6. Step 6: Final answer
    x = 79,248

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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.