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Finding the Fourth Proportional to 338,902.56, 467,741.60 and 188,048.16

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Solution

The fourth proportional to 338,902.56, 467,741.60 and 188,048.16 is: 259,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,902.56 : 467,741.60 = 188,048.16 : x
  2. Step 2: Convert to fraction form
    338,902.56/467,741.60 = 188,048.16/x
  3. Step 3: Cross multiply
    338,902.56x = 467,741.60 × 188,048.16
  4. Step 4: Simplify right side
    338,902.56x = 87,957,947,235.46
  5. Step 5: Solve for x
    x = 87,957,947,235.46/338,902.56
  6. Step 6: Final answer
    x = 259,537.57

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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.