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Finding the Fourth Proportional to 336,906.63, 464,763.39 and 200,844.71

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Solution

The fourth proportional to 336,906.63, 464,763.39 and 200,844.71 is: 277,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,906.63 : 464,763.39 = 200,844.71 : x
  2. Step 2: Convert to fraction form
    336,906.63/464,763.39 = 200,844.71/x
  3. Step 3: Cross multiply
    336,906.63x = 464,763.39 × 200,844.71
  4. Step 4: Simplify right side
    336,906.63x = 93,345,265,959.35
  5. Step 5: Solve for x
    x = 93,345,265,959.35/336,906.63
  6. Step 6: Final answer
    x = 277,065.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.