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Finding the Fourth Proportional to 321,531.69, 443,681.75 and 185,609.43

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Solution

The fourth proportional to 321,531.69, 443,681.75 and 185,609.43 is: 256,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,531.69 : 443,681.75 = 185,609.43 : x
  2. Step 2: Convert to fraction form
    321,531.69/443,681.75 = 185,609.43/x
  3. Step 3: Cross multiply
    321,531.69x = 443,681.75 × 185,609.43
  4. Step 4: Simplify right side
    321,531.69x = 82,351,513,572.45
  5. Step 5: Solve for x
    x = 82,351,513,572.45/321,531.69
  6. Step 6: Final answer
    x = 256,122.54

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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.