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Finding the Fourth Proportional to 382,212.96, 573,402.76 and 115,994.32

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Solution

The fourth proportional to 382,212.96, 573,402.76 and 115,994.32 is: 174,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,212.96 : 573,402.76 = 115,994.32 : x
  2. Step 2: Convert to fraction form
    382,212.96/573,402.76 = 115,994.32/x
  3. Step 3: Cross multiply
    382,212.96x = 573,402.76 × 115,994.32
  4. Step 4: Simplify right side
    382,212.96x = 66,511,463,232.32
  5. Step 5: Solve for x
    x = 66,511,463,232.32/382,212.96
  6. Step 6: Final answer
    x = 174,016.77

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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.