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Finding the Fourth Proportional to 332,172, 458,403.84 and 198,036

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Solution

The fourth proportional to 332,172, 458,403.84 and 198,036 is: 273,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,172 : 458,403.84 = 198,036 : x
  2. Step 2: Convert to fraction form
    332,172/458,403.84 = 198,036/x
  3. Step 3: Cross multiply
    332,172x = 458,403.84 × 198,036
  4. Step 4: Simplify right side
    332,172x = 90,780,462,858.24
  5. Step 5: Solve for x
    x = 90,780,462,858.24/332,172
  6. Step 6: Final answer
    x = 273,293.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.