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Finding the Fourth Proportional to 365,816.88, 504,846.92 and 204,662.32

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Solution

The fourth proportional to 365,816.88, 504,846.92 and 204,662.32 is: 282,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,816.88 : 504,846.92 = 204,662.32 : x
  2. Step 2: Convert to fraction form
    365,816.88/504,846.92 = 204,662.32/x
  3. Step 3: Cross multiply
    365,816.88x = 504,846.92 × 204,662.32
  4. Step 4: Simplify right side
    365,816.88x = 103,323,141,892.05
  5. Step 5: Solve for x
    x = 103,323,141,892.05/365,816.88
  6. Step 6: Final answer
    x = 282,444.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.