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Finding the Fourth Proportional to 568,310.94, 784,265.22 and 313,662.15

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Solution

The fourth proportional to 568,310.94, 784,265.22 and 313,662.15 is: 432,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,310.94 : 784,265.22 = 313,662.15 : x
  2. Step 2: Convert to fraction form
    568,310.94/784,265.22 = 313,662.15/x
  3. Step 3: Cross multiply
    568,310.94x = 784,265.22 × 313,662.15
  4. Step 4: Simplify right side
    568,310.94x = 245,994,315,075.42
  5. Step 5: Solve for x
    x = 245,994,315,075.42/568,310.94
  6. Step 6: Final answer
    x = 432,851.63

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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.