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Finding the Fourth Proportional to 313,936.36, 470,894.10 and 136,443.58

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Solution

The fourth proportional to 313,936.36, 470,894.10 and 136,443.58 is: 204,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,936.36 : 470,894.10 = 136,443.58 : x
  2. Step 2: Convert to fraction form
    313,936.36/470,894.10 = 136,443.58/x
  3. Step 3: Cross multiply
    313,936.36x = 470,894.10 × 136,443.58
  4. Step 4: Simplify right side
    313,936.36x = 64,250,476,804.88
  5. Step 5: Solve for x
    x = 64,250,476,804.88/313,936.36
  6. Step 6: Final answer
    x = 204,660.83

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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.