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Finding the Fourth Proportional to 605,199.74, 907,919.89 and 205,733.25

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Solution

The fourth proportional to 605,199.74, 907,919.89 and 205,733.25 is: 308,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,199.74 : 907,919.89 = 205,733.25 : x
  2. Step 2: Convert to fraction form
    605,199.74/907,919.89 = 205,733.25/x
  3. Step 3: Cross multiply
    605,199.74x = 907,919.89 × 205,733.25
  4. Step 4: Simplify right side
    605,199.74x = 186,789,309,195.01
  5. Step 5: Solve for x
    x = 186,789,309,195.01/605,199.74
  6. Step 6: Final answer
    x = 308,640.77

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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.