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Finding the Fourth Proportional to 329,770.36, 455,093.42 and 186,527.54

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Solution

The fourth proportional to 329,770.36, 455,093.42 and 186,527.54 is: 257,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,770.36 : 455,093.42 = 186,527.54 : x
  2. Step 2: Convert to fraction form
    329,770.36/455,093.42 = 186,527.54/x
  3. Step 3: Cross multiply
    329,770.36x = 455,093.42 × 186,527.54
  4. Step 4: Simplify right side
    329,770.36x = 84,887,456,102.79
  5. Step 5: Solve for x
    x = 84,887,456,102.79/329,770.36
  6. Step 6: Final answer
    x = 257,413.84

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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.