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Finding the Fourth Proportional to 568,596.50, 784,642.61 and 313,942.22

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Solution

The fourth proportional to 568,596.50, 784,642.61 and 313,942.22 is: 433,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,596.50 : 784,642.61 = 313,942.22 : x
  2. Step 2: Convert to fraction form
    568,596.50/784,642.61 = 313,942.22/x
  3. Step 3: Cross multiply
    568,596.50x = 784,642.61 × 313,942.22
  4. Step 4: Simplify right side
    568,596.50x = 246,332,442,889.99
  5. Step 5: Solve for x
    x = 246,332,442,889.99/568,596.50
  6. Step 6: Final answer
    x = 433,228.91

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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.