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Finding the Fourth Proportional to 321,652.14, 443,589.48 and 200,804.58

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Solution

The fourth proportional to 321,652.14, 443,589.48 and 200,804.58 is: 276,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,652.14 : 443,589.48 = 200,804.58 : x
  2. Step 2: Convert to fraction form
    321,652.14/443,589.48 = 200,804.58/x
  3. Step 3: Cross multiply
    321,652.14x = 443,589.48 × 200,804.58
  4. Step 4: Simplify right side
    321,652.14x = 89,074,799,223.82
  5. Step 5: Solve for x
    x = 89,074,799,223.82/321,652.14
  6. Step 6: Final answer
    x = 276,928.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.