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Finding the Fourth Proportional to 365,504.64, 504,399.56 and 202,158.40

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Solution

The fourth proportional to 365,504.64, 504,399.56 and 202,158.40 is: 278,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,504.64 : 504,399.56 = 202,158.40 : x
  2. Step 2: Convert to fraction form
    365,504.64/504,399.56 = 202,158.40/x
  3. Step 3: Cross multiply
    365,504.64x = 504,399.56 × 202,158.40
  4. Step 4: Simplify right side
    365,504.64x = 101,968,608,010.30
  5. Step 5: Solve for x
    x = 101,968,608,010.30/365,504.64
  6. Step 6: Final answer
    x = 278,980.34

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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.