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Finding the Fourth Proportional to 311,462, 467,271.04 and 89,846

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Solution

The fourth proportional to 311,462, 467,271.04 and 89,846 is: 134,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,462 : 467,271.04 = 89,846 : x
  2. Step 2: Convert to fraction form
    311,462/467,271.04 = 89,846/x
  3. Step 3: Cross multiply
    311,462x = 467,271.04 × 89,846
  4. Step 4: Simplify right side
    311,462x = 41,982,433,859.84
  5. Step 5: Solve for x
    x = 41,982,433,859.84/311,462
  6. Step 6: Final answer
    x = 134,791.51

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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.