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Finding the Fourth Proportional to 321,635.63, 443,566.58 and 200,788.08

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Solution

The fourth proportional to 321,635.63, 443,566.58 and 200,788.08 is: 276,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,635.63 : 443,566.58 = 200,788.08 : x
  2. Step 2: Convert to fraction form
    321,635.63/443,566.58 = 200,788.08/x
  3. Step 3: Cross multiply
    321,635.63x = 443,566.58 × 200,788.08
  4. Step 4: Simplify right side
    321,635.63x = 89,062,880,946.43
  5. Step 5: Solve for x
    x = 89,062,880,946.43/321,635.63
  6. Step 6: Final answer
    x = 276,906.14

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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.