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Finding the Fourth Proportional to 364,825.36, 503,463.96 and 201,492.84

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Solution

The fourth proportional to 364,825.36, 503,463.96 and 201,492.84 is: 278,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,825.36 : 503,463.96 = 201,492.84 : x
  2. Step 2: Convert to fraction form
    364,825.36/503,463.96 = 201,492.84/x
  3. Step 3: Cross multiply
    364,825.36x = 503,463.96 × 201,492.84
  4. Step 4: Simplify right side
    364,825.36x = 101,444,383,138.05
  5. Step 5: Solve for x
    x = 101,444,383,138.05/364,825.36
  6. Step 6: Final answer
    x = 278,062.86

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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.