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Finding the Fourth Proportional to 382,361.60, 573,657.60 and 271,769.60

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Solution

The fourth proportional to 382,361.60, 573,657.60 and 271,769.60 is: 407,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,361.60 : 573,657.60 = 271,769.60 : x
  2. Step 2: Convert to fraction form
    382,361.60/573,657.60 = 271,769.60/x
  3. Step 3: Cross multiply
    382,361.60x = 573,657.60 × 271,769.60
  4. Step 4: Simplify right side
    382,361.60x = 155,902,696,488.96
  5. Step 5: Solve for x
    x = 155,902,696,488.96/382,361.60
  6. Step 6: Final answer
    x = 407,736.28

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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.