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Finding the Fourth Proportional to 505,791.57, 697,984.22 and 276,343.93

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Solution

The fourth proportional to 505,791.57, 697,984.22 and 276,343.93 is: 381,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,791.57 : 697,984.22 = 276,343.93 : x
  2. Step 2: Convert to fraction form
    505,791.57/697,984.22 = 276,343.93/x
  3. Step 3: Cross multiply
    505,791.57x = 697,984.22 × 276,343.93
  4. Step 4: Simplify right side
    505,791.57x = 192,883,697,561.14
  5. Step 5: Solve for x
    x = 192,883,697,561.14/505,791.57
  6. Step 6: Final answer
    x = 381,350.17

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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.