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Finding the Fourth Proportional to 321,298.90, 443,441.32 and 205,062.54

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Solution

The fourth proportional to 321,298.90, 443,441.32 and 205,062.54 is: 283,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,298.90 : 443,441.32 = 205,062.54 : x
  2. Step 2: Convert to fraction form
    321,298.90/443,441.32 = 205,062.54/x
  3. Step 3: Cross multiply
    321,298.90x = 443,441.32 × 205,062.54
  4. Step 4: Simplify right side
    321,298.90x = 90,933,203,420.15
  5. Step 5: Solve for x
    x = 90,933,203,420.15/321,298.90
  6. Step 6: Final answer
    x = 283,017.48

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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.