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Finding the Fourth Proportional to 568,165.82, 851,436.75 and 417,221.96

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Solution

The fourth proportional to 568,165.82, 851,436.75 and 417,221.96 is: 625,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,165.82 : 851,436.75 = 417,221.96 : x
  2. Step 2: Convert to fraction form
    568,165.82/851,436.75 = 417,221.96/x
  3. Step 3: Cross multiply
    568,165.82x = 851,436.75 × 417,221.96
  4. Step 4: Simplify right side
    568,165.82x = 355,238,109,651.03
  5. Step 5: Solve for x
    x = 355,238,109,651.03/568,165.82
  6. Step 6: Final answer
    x = 625,236.68

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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.