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Finding the Fourth Proportional to 286,120.38, 394,847.76 and 178,752.78

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Solution

The fourth proportional to 286,120.38, 394,847.76 and 178,752.78 is: 246,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,120.38 : 394,847.76 = 178,752.78 : x
  2. Step 2: Convert to fraction form
    286,120.38/394,847.76 = 178,752.78/x
  3. Step 3: Cross multiply
    286,120.38x = 394,847.76 × 178,752.78
  4. Step 4: Simplify right side
    286,120.38x = 70,580,134,776.77
  5. Step 5: Solve for x
    x = 70,580,134,776.77/286,120.38
  6. Step 6: Final answer
    x = 246,679.86

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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.