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Finding the Fourth Proportional to 455,769.42, 628,833.84 and 262,167

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Solution

The fourth proportional to 455,769.42, 628,833.84 and 262,167 is: 361,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,769.42 : 628,833.84 = 262,167 : x
  2. Step 2: Convert to fraction form
    455,769.42/628,833.84 = 262,167/x
  3. Step 3: Cross multiply
    455,769.42x = 628,833.84 × 262,167
  4. Step 4: Simplify right side
    455,769.42x = 164,859,481,331.28
  5. Step 5: Solve for x
    x = 164,859,481,331.28/455,769.42
  6. Step 6: Final answer
    x = 361,716.86

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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.