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Finding the Fourth Proportional to 605,202.36, 907,923.84 and 205,735.86

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Solution

The fourth proportional to 605,202.36, 907,923.84 and 205,735.86 is: 308,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,202.36 : 907,923.84 = 205,735.86 : x
  2. Step 2: Convert to fraction form
    605,202.36/907,923.84 = 205,735.86/x
  3. Step 3: Cross multiply
    605,202.36x = 907,923.84 × 205,735.86
  4. Step 4: Simplify right side
    605,202.36x = 186,792,492,036.90
  5. Step 5: Solve for x
    x = 186,792,492,036.90/605,202.36
  6. Step 6: Final answer
    x = 308,644.69

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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.