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Finding the Fourth Proportional to 605,201.99, 907,923.27 and 205,735.50

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Solution

The fourth proportional to 605,201.99, 907,923.27 and 205,735.50 is: 308,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,201.99 : 907,923.27 = 205,735.50 : x
  2. Step 2: Convert to fraction form
    605,201.99/907,923.27 = 205,735.50/x
  3. Step 3: Cross multiply
    605,201.99x = 907,923.27 × 205,735.50
  4. Step 4: Simplify right side
    605,201.99x = 186,792,047,915.09
  5. Step 5: Solve for x
    x = 186,792,047,915.09/605,201.99
  6. Step 6: Final answer
    x = 308,644.14

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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.