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Finding the Fourth Proportional to 313,841, 470,761.50 and 92,225

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Solution

The fourth proportional to 313,841, 470,761.50 and 92,225 is: 138,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,841 : 470,761.50 = 92,225 : x
  2. Step 2: Convert to fraction form
    313,841/470,761.50 = 92,225/x
  3. Step 3: Cross multiply
    313,841x = 470,761.50 × 92,225
  4. Step 4: Simplify right side
    313,841x = 43,415,979,337.50
  5. Step 5: Solve for x
    x = 43,415,979,337.50/313,841
  6. Step 6: Final answer
    x = 138,337.50

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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.