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Finding the Fourth Proportional to 568,711.44, 784,815.48 and 314,057.52

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Solution

The fourth proportional to 568,711.44, 784,815.48 and 314,057.52 is: 433,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,711.44 : 784,815.48 = 314,057.52 : x
  2. Step 2: Convert to fraction form
    568,711.44/784,815.48 = 314,057.52/x
  3. Step 3: Cross multiply
    568,711.44x = 784,815.48 × 314,057.52
  4. Step 4: Simplify right side
    568,711.44x = 246,477,203,306.41
  5. Step 5: Solve for x
    x = 246,477,203,306.41/568,711.44
  6. Step 6: Final answer
    x = 433,395.89

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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.