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Finding the Fourth Proportional to 391,540.20, 540,196.96 and 219,433

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Solution

The fourth proportional to 391,540.20, 540,196.96 and 219,433 is: 302,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,540.20 : 540,196.96 = 219,433 : x
  2. Step 2: Convert to fraction form
    391,540.20/540,196.96 = 219,433/x
  3. Step 3: Cross multiply
    391,540.20x = 540,196.96 × 219,433
  4. Step 4: Simplify right side
    391,540.20x = 118,537,039,523.68
  5. Step 5: Solve for x
    x = 118,537,039,523.68/391,540.20
  6. Step 6: Final answer
    x = 302,745.52

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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.