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Finding the Fourth Proportional to 313,842, 470,763 and 92,226

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Solution

The fourth proportional to 313,842, 470,763 and 92,226 is: 138,339

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,842 : 470,763 = 92,226 : x
  2. Step 2: Convert to fraction form
    313,842/470,763 = 92,226/x
  3. Step 3: Cross multiply
    313,842x = 470,763 × 92,226
  4. Step 4: Simplify right side
    313,842x = 43,416,588,438
  5. Step 5: Solve for x
    x = 43,416,588,438/313,842
  6. Step 6: Final answer
    x = 138,339

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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.