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Finding the Fourth Proportional to 471,136.48, 650,185.68 and 269,971.36

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Solution

The fourth proportional to 471,136.48, 650,185.68 and 269,971.36 is: 372,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,136.48 : 650,185.68 = 269,971.36 : x
  2. Step 2: Convert to fraction form
    471,136.48/650,185.68 = 269,971.36/x
  3. Step 3: Cross multiply
    471,136.48x = 650,185.68 × 269,971.36
  4. Step 4: Simplify right side
    471,136.48x = 175,531,512,282.13
  5. Step 5: Solve for x
    x = 175,531,512,282.13/471,136.48
  6. Step 6: Final answer
    x = 372,570.41

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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.