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Finding the Fourth Proportional to 471,157.96, 650,186.34 and 269,941

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Solution

The fourth proportional to 471,157.96, 650,186.34 and 269,941 is: 372,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,157.96 : 650,186.34 = 269,941 : x
  2. Step 2: Convert to fraction form
    471,157.96/650,186.34 = 269,941/x
  3. Step 3: Cross multiply
    471,157.96x = 650,186.34 × 269,941
  4. Step 4: Simplify right side
    471,157.96x = 175,511,950,805.94
  5. Step 5: Solve for x
    x = 175,511,950,805.94/471,157.96
  6. Step 6: Final answer
    x = 372,511.91

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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.