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Finding the Fourth Proportional to 451,470.51, 677,198.88 and 109,917.14

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Solution

The fourth proportional to 451,470.51, 677,198.88 and 109,917.14 is: 164,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,470.51 : 677,198.88 = 109,917.14 : x
  2. Step 2: Convert to fraction form
    451,470.51/677,198.88 = 109,917.14/x
  3. Step 3: Cross multiply
    451,470.51x = 677,198.88 × 109,917.14
  4. Step 4: Simplify right side
    451,470.51x = 74,435,760,714.81
  5. Step 5: Solve for x
    x = 74,435,760,714.81/451,470.51
  6. Step 6: Final answer
    x = 164,874.03

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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.