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Finding the Fourth Proportional to 321,522.61, 443,445.19 and 206,814.37

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Solution

The fourth proportional to 321,522.61, 443,445.19 and 206,814.37 is: 285,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,522.61 : 443,445.19 = 206,814.37 : x
  2. Step 2: Convert to fraction form
    321,522.61/443,445.19 = 206,814.37/x
  3. Step 3: Cross multiply
    321,522.61x = 443,445.19 × 206,814.37
  4. Step 4: Simplify right side
    321,522.61x = 91,710,837,599.38
  5. Step 5: Solve for x
    x = 91,710,837,599.38/321,522.61
  6. Step 6: Final answer
    x = 285,239.16

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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.