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Finding the Fourth Proportional to 421,611.20, 632,198.10 and 155,234.60

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Solution

The fourth proportional to 421,611.20, 632,198.10 and 155,234.60 is: 232,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,611.20 : 632,198.10 = 155,234.60 : x
  2. Step 2: Convert to fraction form
    421,611.20/632,198.10 = 155,234.60/x
  3. Step 3: Cross multiply
    421,611.20x = 632,198.10 × 155,234.60
  4. Step 4: Simplify right side
    421,611.20x = 98,139,019,174.26
  5. Step 5: Solve for x
    x = 98,139,019,174.26/421,611.20
  6. Step 6: Final answer
    x = 232,771.38

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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.