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Finding the Fourth Proportional to 382,661.97, 574,122.13 and 169,400.46

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Solution

The fourth proportional to 382,661.97, 574,122.13 and 169,400.46 is: 254,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,661.97 : 574,122.13 = 169,400.46 : x
  2. Step 2: Convert to fraction form
    382,661.97/574,122.13 = 169,400.46/x
  3. Step 3: Cross multiply
    382,661.97x = 574,122.13 × 169,400.46
  4. Step 4: Simplify right side
    382,661.97x = 97,256,554,647.64
  5. Step 5: Solve for x
    x = 97,256,554,647.64/382,661.97
  6. Step 6: Final answer
    x = 254,157.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.