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Finding the Fourth Proportional to 412,021.56, 568,647.36 and 297,670.26

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Solution

The fourth proportional to 412,021.56, 568,647.36 and 297,670.26 is: 410,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,021.56 : 568,647.36 = 297,670.26 : x
  2. Step 2: Convert to fraction form
    412,021.56/568,647.36 = 297,670.26/x
  3. Step 3: Cross multiply
    412,021.56x = 568,647.36 × 297,670.26
  4. Step 4: Simplify right side
    412,021.56x = 169,269,407,499.51
  5. Step 5: Solve for x
    x = 169,269,407,499.51/412,021.56
  6. Step 6: Final answer
    x = 410,826.58

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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.