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Finding the Fourth Proportional to 580,774.49, 801,478.25 and 322,668.09

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Solution

The fourth proportional to 580,774.49, 801,478.25 and 322,668.09 is: 445,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,774.49 : 801,478.25 = 322,668.09 : x
  2. Step 2: Convert to fraction form
    580,774.49/801,478.25 = 322,668.09/x
  3. Step 3: Cross multiply
    580,774.49x = 801,478.25 × 322,668.09
  4. Step 4: Simplify right side
    580,774.49x = 258,611,456,104.04
  5. Step 5: Solve for x
    x = 258,611,456,104.04/580,774.49
  6. Step 6: Final answer
    x = 445,287.22

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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.