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Finding the Fourth Proportional to 277,843.57, 416,309.72 and 117,791.62

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Solution

The fourth proportional to 277,843.57, 416,309.72 and 117,791.62 is: 176,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,843.57 : 416,309.72 = 117,791.62 : x
  2. Step 2: Convert to fraction form
    277,843.57/416,309.72 = 117,791.62/x
  3. Step 3: Cross multiply
    277,843.57x = 416,309.72 × 117,791.62
  4. Step 4: Simplify right side
    277,843.57x = 49,037,796,340.55
  5. Step 5: Solve for x
    x = 49,037,796,340.55/277,843.57
  6. Step 6: Final answer
    x = 176,494.26

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1.5x scale

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.