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Finding the Fourth Proportional to 280,470.38, 386,852.69 and 189,786.42

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Solution

The fourth proportional to 280,470.38, 386,852.69 and 189,786.42 is: 261,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,470.38 : 386,852.69 = 189,786.42 : x
  2. Step 2: Convert to fraction form
    280,470.38/386,852.69 = 189,786.42/x
  3. Step 3: Cross multiply
    280,470.38x = 386,852.69 × 189,786.42
  4. Step 4: Simplify right side
    280,470.38x = 73,419,387,576.94
  5. Step 5: Solve for x
    x = 73,419,387,576.94/280,470.38
  6. Step 6: Final answer
    x = 261,772.34

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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.