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Finding the Fourth Proportional to 467,923.80, 701,999.10 and 135,499.80

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Solution

The fourth proportional to 467,923.80, 701,999.10 and 135,499.80 is: 203,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,923.80 : 701,999.10 = 135,499.80 : x
  2. Step 2: Convert to fraction form
    467,923.80/701,999.10 = 135,499.80/x
  3. Step 3: Cross multiply
    467,923.80x = 701,999.10 × 135,499.80
  4. Step 4: Simplify right side
    467,923.80x = 95,120,737,650.18
  5. Step 5: Solve for x
    x = 95,120,737,650.18/467,923.80
  6. Step 6: Final answer
    x = 203,282.54

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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.