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Finding the Fourth Proportional to 505,791.79, 697,984.54 and 276,344.16

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Solution

The fourth proportional to 505,791.79, 697,984.54 and 276,344.16 is: 381,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,791.79 : 697,984.54 = 276,344.16 : x
  2. Step 2: Convert to fraction form
    505,791.79/697,984.54 = 276,344.16/x
  3. Step 3: Cross multiply
    505,791.79x = 697,984.54 × 276,344.16
  4. Step 4: Simplify right side
    505,791.79x = 192,883,949,645.42
  5. Step 5: Solve for x
    x = 192,883,949,645.42/505,791.79
  6. Step 6: Final answer
    x = 381,350.49

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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.