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Finding the Fourth Proportional to 382,185.88, 573,278.24 and 171,577.80

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Solution

The fourth proportional to 382,185.88, 573,278.24 and 171,577.80 is: 257,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,185.88 : 573,278.24 = 171,577.80 : x
  2. Step 2: Convert to fraction form
    382,185.88/573,278.24 = 171,577.80/x
  3. Step 3: Cross multiply
    382,185.88x = 573,278.24 × 171,577.80
  4. Step 4: Simplify right side
    382,185.88x = 98,361,819,207.07
  5. Step 5: Solve for x
    x = 98,361,819,207.07/382,185.88
  6. Step 6: Final answer
    x = 257,366.44

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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.