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Finding the Fourth Proportional to 354,257.82, 488,851.34 and 199,232.33

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Solution

The fourth proportional to 354,257.82, 488,851.34 and 199,232.33 is: 274,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,257.82 : 488,851.34 = 199,232.33 : x
  2. Step 2: Convert to fraction form
    354,257.82/488,851.34 = 199,232.33/x
  3. Step 3: Cross multiply
    354,257.82x = 488,851.34 × 199,232.33
  4. Step 4: Simplify right side
    354,257.82x = 97,394,988,051.40
  5. Step 5: Solve for x
    x = 97,394,988,051.40/354,257.82
  6. Step 6: Final answer
    x = 274,926.85

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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.