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Finding the Fourth Proportional to 321,236.08, 443,317.32 and 193,886.80

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Solution

The fourth proportional to 321,236.08, 443,317.32 and 193,886.80 is: 267,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,236.08 : 443,317.32 = 193,886.80 : x
  2. Step 2: Convert to fraction form
    321,236.08/443,317.32 = 193,886.80/x
  3. Step 3: Cross multiply
    321,236.08x = 443,317.32 × 193,886.80
  4. Step 4: Simplify right side
    321,236.08x = 85,953,376,559.38
  5. Step 5: Solve for x
    x = 85,953,376,559.38/321,236.08
  6. Step 6: Final answer
    x = 267,570.74

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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.