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Finding the Fourth Proportional to 313,814, 470,800.92 and 92,198

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Solution

The fourth proportional to 313,814, 470,800.92 and 92,198 is: 138,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,814 : 470,800.92 = 92,198 : x
  2. Step 2: Convert to fraction form
    313,814/470,800.92 = 92,198/x
  3. Step 3: Cross multiply
    313,814x = 470,800.92 × 92,198
  4. Step 4: Simplify right side
    313,814x = 43,406,903,222.16
  5. Step 5: Solve for x
    x = 43,406,903,222.16/313,814
  6. Step 6: Final answer
    x = 138,320.48

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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.