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Finding the Fourth Proportional to 365,989.56, 505,065.51 and 204,844.60

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Solution

The fourth proportional to 365,989.56, 505,065.51 and 204,844.60 is: 282,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,989.56 : 505,065.51 = 204,844.60 : x
  2. Step 2: Convert to fraction form
    365,989.56/505,065.51 = 204,844.60/x
  3. Step 3: Cross multiply
    365,989.56x = 505,065.51 × 204,844.60
  4. Step 4: Simplify right side
    365,989.56x = 103,459,942,369.75
  5. Step 5: Solve for x
    x = 103,459,942,369.75/365,989.56
  6. Step 6: Final answer
    x = 282,685.50

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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.