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Finding the Fourth Proportional to 394,528.32, 591,796.80 and 114,048

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Solution

The fourth proportional to 394,528.32, 591,796.80 and 114,048 is: 171,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,528.32 : 591,796.80 = 114,048 : x
  2. Step 2: Convert to fraction form
    394,528.32/591,796.80 = 114,048/x
  3. Step 3: Cross multiply
    394,528.32x = 591,796.80 × 114,048
  4. Step 4: Simplify right side
    394,528.32x = 67,493,241,446.40
  5. Step 5: Solve for x
    x = 67,493,241,446.40/394,528.32
  6. Step 6: Final answer
    x = 171,073.25

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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.