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Finding the Fourth Proportional to 382,241.27, 573,804.83 and 205,094.27

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Solution

The fourth proportional to 382,241.27, 573,804.83 and 205,094.27 is: 307,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,241.27 : 573,804.83 = 205,094.27 : x
  2. Step 2: Convert to fraction form
    382,241.27/573,804.83 = 205,094.27/x
  3. Step 3: Cross multiply
    382,241.27x = 573,804.83 × 205,094.27
  4. Step 4: Simplify right side
    382,241.27x = 117,684,084,678.57
  5. Step 5: Solve for x
    x = 117,684,084,678.57/382,241.27
  6. Step 6: Final answer
    x = 307,879.06

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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.