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Finding the Fourth Proportional to 568,285.50, 784,235.67 and 310,164.83

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Solution

The fourth proportional to 568,285.50, 784,235.67 and 310,164.83 is: 428,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,285.50 : 784,235.67 = 310,164.83 : x
  2. Step 2: Convert to fraction form
    568,285.50/784,235.67 = 310,164.83/x
  3. Step 3: Cross multiply
    568,285.50x = 784,235.67 × 310,164.83
  4. Step 4: Simplify right side
    568,285.50x = 243,242,322,866.75
  5. Step 5: Solve for x
    x = 243,242,322,866.75/568,285.50
  6. Step 6: Final answer
    x = 428,028.38

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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.