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Finding the Fourth Proportional to 605,202.74, 907,924.39 and 205,736.25

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Solution

The fourth proportional to 605,202.74, 907,924.39 and 205,736.25 is: 308,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,202.74 : 907,924.39 = 205,736.25 : x
  2. Step 2: Convert to fraction form
    605,202.74/907,924.39 = 205,736.25/x
  3. Step 3: Cross multiply
    605,202.74x = 907,924.39 × 205,736.25
  4. Step 4: Simplify right side
    605,202.74x = 186,792,959,282.14
  5. Step 5: Solve for x
    x = 186,792,959,282.14/605,202.74
  6. Step 6: Final answer
    x = 308,645.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.