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Finding the Fourth Proportional to 864,861, 1,297,296.12 and 567,226.37

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Solution

The fourth proportional to 864,861, 1,297,296.12 and 567,226.37 is: 850,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,861 : 1,297,296.12 = 567,226.37 : x
  2. Step 2: Convert to fraction form
    864,861/1,297,296.12 = 567,226.37/x
  3. Step 3: Cross multiply
    864,861x = 1,297,296.12 × 567,226.37
  4. Step 4: Simplify right side
    864,861x = 735,860,568,962.69
  5. Step 5: Solve for x
    x = 735,860,568,962.69/864,861
  6. Step 6: Final answer
    x = 850,842.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.