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Finding the Fourth Proportional to 262,697.84, 394,104.38 and 85,222.80

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Solution

The fourth proportional to 262,697.84, 394,104.38 and 85,222.80 is: 127,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,697.84 : 394,104.38 = 85,222.80 : x
  2. Step 2: Convert to fraction form
    262,697.84/394,104.38 = 85,222.80/x
  3. Step 3: Cross multiply
    262,697.84x = 394,104.38 × 85,222.80
  4. Step 4: Simplify right side
    262,697.84x = 33,586,678,755.86
  5. Step 5: Solve for x
    x = 33,586,678,755.86/262,697.84
  6. Step 6: Final answer
    x = 127,852.89

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1.5x scale

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.