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Finding the Fourth Proportional to 259,853.71, 358,942.38 and 209,057.80

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Solution

The fourth proportional to 259,853.71, 358,942.38 and 209,057.80 is: 288,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,853.71 : 358,942.38 = 209,057.80 : x
  2. Step 2: Convert to fraction form
    259,853.71/358,942.38 = 209,057.80/x
  3. Step 3: Cross multiply
    259,853.71x = 358,942.38 × 209,057.80
  4. Step 4: Simplify right side
    259,853.71x = 75,039,704,289.56
  5. Step 5: Solve for x
    x = 75,039,704,289.56/259,853.71
  6. Step 6: Final answer
    x = 288,776.73

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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.