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Finding the Fourth Proportional to 300,967.34, 415,334.82 and 164,998.37

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Solution

The fourth proportional to 300,967.34, 415,334.82 and 164,998.37 is: 227,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,967.34 : 415,334.82 = 164,998.37 : x
  2. Step 2: Convert to fraction form
    300,967.34/415,334.82 = 164,998.37/x
  3. Step 3: Cross multiply
    300,967.34x = 415,334.82 × 164,998.37
  4. Step 4: Simplify right side
    300,967.34x = 68,529,566,846.31
  5. Step 5: Solve for x
    x = 68,529,566,846.31/300,967.34
  6. Step 6: Final answer
    x = 227,697.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.