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Finding the Fourth Proportional to 315,857.36, 474,114.09 and 182,997.11

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Solution

The fourth proportional to 315,857.36, 474,114.09 and 182,997.11 is: 274,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,857.36 : 474,114.09 = 182,997.11 : x
  2. Step 2: Convert to fraction form
    315,857.36/474,114.09 = 182,997.11/x
  3. Step 3: Cross multiply
    315,857.36x = 474,114.09 × 182,997.11
  4. Step 4: Simplify right side
    315,857.36x = 86,761,505,909.71
  5. Step 5: Solve for x
    x = 86,761,505,909.71/315,857.36
  6. Step 6: Final answer
    x = 274,685.72

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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.