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Finding the Fourth Proportional to 241,713.80, 362,570.70 and 205,944.20

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Solution

The fourth proportional to 241,713.80, 362,570.70 and 205,944.20 is: 308,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,713.80 : 362,570.70 = 205,944.20 : x
  2. Step 2: Convert to fraction form
    241,713.80/362,570.70 = 205,944.20/x
  3. Step 3: Cross multiply
    241,713.80x = 362,570.70 × 205,944.20
  4. Step 4: Simplify right side
    241,713.80x = 74,669,332,754.94
  5. Step 5: Solve for x
    x = 74,669,332,754.94/241,713.80
  6. Step 6: Final answer
    x = 308,916.30

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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.