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Finding the Fourth Proportional to 332,975, 499,462.98 and 135,983

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Solution

The fourth proportional to 332,975, 499,462.98 and 135,983 is: 203,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,975 : 499,462.98 = 135,983 : x
  2. Step 2: Convert to fraction form
    332,975/499,462.98 = 135,983/x
  3. Step 3: Cross multiply
    332,975x = 499,462.98 × 135,983
  4. Step 4: Simplify right side
    332,975x = 67,918,474,409.34
  5. Step 5: Solve for x
    x = 67,918,474,409.34/332,975
  6. Step 6: Final answer
    x = 203,974.70

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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.