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Finding the Fourth Proportional to 315,544.28, 472,939.97 and 182,142.68

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Solution

The fourth proportional to 315,544.28, 472,939.97 and 182,142.68 is: 272,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,544.28 : 472,939.97 = 182,142.68 : x
  2. Step 2: Convert to fraction form
    315,544.28/472,939.97 = 182,142.68/x
  3. Step 3: Cross multiply
    315,544.28x = 472,939.97 × 182,142.68
  4. Step 4: Simplify right side
    315,544.28x = 86,142,550,339.51
  5. Step 5: Solve for x
    x = 86,142,550,339.51/315,544.28
  6. Step 6: Final answer
    x = 272,996.71

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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.