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Finding the Fourth Proportional to 451,853.73, 677,377.89 and 171,567.81

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Solution

The fourth proportional to 451,853.73, 677,377.89 and 171,567.81 is: 257,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,853.73 : 677,377.89 = 171,567.81 : x
  2. Step 2: Convert to fraction form
    451,853.73/677,377.89 = 171,567.81/x
  3. Step 3: Cross multiply
    451,853.73x = 677,377.89 × 171,567.81
  4. Step 4: Simplify right side
    451,853.73x = 116,216,241,129.72
  5. Step 5: Solve for x
    x = 116,216,241,129.72/451,853.73
  6. Step 6: Final answer
    x = 257,198.81

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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.