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Finding the Fourth Proportional to 505,684.82, 697,866.28 and 290,825.06

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Solution

The fourth proportional to 505,684.82, 697,866.28 and 290,825.06 is: 401,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,684.82 : 697,866.28 = 290,825.06 : x
  2. Step 2: Convert to fraction form
    505,684.82/697,866.28 = 290,825.06/x
  3. Step 3: Cross multiply
    505,684.82x = 697,866.28 × 290,825.06
  4. Step 4: Simplify right side
    505,684.82x = 202,957,002,752.98
  5. Step 5: Solve for x
    x = 202,957,002,752.98/505,684.82
  6. Step 6: Final answer
    x = 401,350.79

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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.