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Finding the Fourth Proportional to 505,212.39, 697,193.73 and 278,857.89

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Solution

The fourth proportional to 505,212.39, 697,193.73 and 278,857.89 is: 384,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,212.39 : 697,193.73 = 278,857.89 : x
  2. Step 2: Convert to fraction form
    505,212.39/697,193.73 = 278,857.89/x
  3. Step 3: Cross multiply
    505,212.39x = 697,193.73 × 278,857.89
  4. Step 4: Simplify right side
    505,212.39x = 194,417,972,469.03
  5. Step 5: Solve for x
    x = 194,417,972,469.03/505,212.39
  6. Step 6: Final answer
    x = 384,824.24

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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.