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Finding the Fourth Proportional to 286,169.86, 394,834.38 and 178,848.91

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Solution

The fourth proportional to 286,169.86, 394,834.38 and 178,848.91 is: 246,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,169.86 : 394,834.38 = 178,848.91 : x
  2. Step 2: Convert to fraction form
    286,169.86/394,834.38 = 178,848.91/x
  3. Step 3: Cross multiply
    286,169.86x = 394,834.38 × 178,848.91
  4. Step 4: Simplify right side
    286,169.86x = 70,615,696,519.35
  5. Step 5: Solve for x
    x = 70,615,696,519.35/286,169.86
  6. Step 6: Final answer
    x = 246,761.48

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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.