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Finding the Fourth Proportional to 568,474.26, 784,473.75 and 313,819.98

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Solution

The fourth proportional to 568,474.26, 784,473.75 and 313,819.98 is: 433,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,474.26 : 784,473.75 = 313,819.98 : x
  2. Step 2: Convert to fraction form
    568,474.26/784,473.75 = 313,819.98/x
  3. Step 3: Cross multiply
    568,474.26x = 784,473.75 × 313,819.98
  4. Step 4: Simplify right side
    568,474.26x = 246,183,536,535.53
  5. Step 5: Solve for x
    x = 246,183,536,535.53/568,474.26
  6. Step 6: Final answer
    x = 433,060.13

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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.