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Finding the Fourth Proportional to 365,956.26, 505,041.88 and 204,807.96

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Solution

The fourth proportional to 365,956.26, 505,041.88 and 204,807.96 is: 282,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,956.26 : 505,041.88 = 204,807.96 : x
  2. Step 2: Convert to fraction form
    365,956.26/505,041.88 = 204,807.96/x
  3. Step 3: Cross multiply
    365,956.26x = 505,041.88 × 204,807.96
  4. Step 4: Simplify right side
    365,956.26x = 103,436,597,157.37
  5. Step 5: Solve for x
    x = 103,436,597,157.37/365,956.26
  6. Step 6: Final answer
    x = 282,647.43

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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.