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Finding the Fourth Proportional to 321,585.85, 443,425.03 and 205,143.99

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Solution

The fourth proportional to 321,585.85, 443,425.03 and 205,143.99 is: 282,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,585.85 : 443,425.03 = 205,143.99 : x
  2. Step 2: Convert to fraction form
    321,585.85/443,425.03 = 205,143.99/x
  3. Step 3: Cross multiply
    321,585.85x = 443,425.03 × 205,143.99
  4. Step 4: Simplify right side
    321,585.85x = 90,965,979,920.07
  5. Step 5: Solve for x
    x = 90,965,979,920.07/321,585.85
  6. Step 6: Final answer
    x = 282,866.86

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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.