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Finding the Fourth Proportional to 341,847.28, 511,774.62 and 199,256.50

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Solution

The fourth proportional to 341,847.28, 511,774.62 and 199,256.50 is: 298,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,847.28 : 511,774.62 = 199,256.50 : x
  2. Step 2: Convert to fraction form
    341,847.28/511,774.62 = 199,256.50/x
  3. Step 3: Cross multiply
    341,847.28x = 511,774.62 × 199,256.50
  4. Step 4: Simplify right side
    341,847.28x = 101,974,419,570.03
  5. Step 5: Solve for x
    x = 101,974,419,570.03/341,847.28
  6. Step 6: Final answer
    x = 298,304.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.