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Finding the Fourth Proportional to 282,587.28, 389,744.81 and 185,890.44

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Solution

The fourth proportional to 282,587.28, 389,744.81 and 185,890.44 is: 256,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,587.28 : 389,744.81 = 185,890.44 : x
  2. Step 2: Convert to fraction form
    282,587.28/389,744.81 = 185,890.44/x
  3. Step 3: Cross multiply
    282,587.28x = 389,744.81 × 185,890.44
  4. Step 4: Simplify right side
    282,587.28x = 72,449,836,493.43
  5. Step 5: Solve for x
    x = 72,449,836,493.43/282,587.28
  6. Step 6: Final answer
    x = 256,380.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.