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Finding the Fourth Proportional to 233,409.88, 350,410.07 and 198,570.97

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Solution

The fourth proportional to 233,409.88, 350,410.07 and 198,570.97 is: 298,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,409.88 : 350,410.07 = 198,570.97 : x
  2. Step 2: Convert to fraction form
    233,409.88/350,410.07 = 198,570.97/x
  3. Step 3: Cross multiply
    233,409.88x = 350,410.07 × 198,570.97
  4. Step 4: Simplify right side
    233,409.88x = 69,581,265,628.79
  5. Step 5: Solve for x
    x = 69,581,265,628.79/233,409.88
  6. Step 6: Final answer
    x = 298,107.63

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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.