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Finding the Fourth Proportional to 505,165.34, 697,142.64 and 275,736.88

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Solution

The fourth proportional to 505,165.34, 697,142.64 and 275,736.88 is: 380,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,165.34 : 697,142.64 = 275,736.88 : x
  2. Step 2: Convert to fraction form
    505,165.34/697,142.64 = 275,736.88/x
  3. Step 3: Cross multiply
    505,165.34x = 697,142.64 × 275,736.88
  4. Step 4: Simplify right side
    505,165.34x = 192,227,936,468.56
  5. Step 5: Solve for x
    x = 192,227,936,468.56/505,165.34
  6. Step 6: Final answer
    x = 380,524.79

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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.