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Finding the Fourth Proportional to 427,868.08, 641,817 and 203,112.73

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Solution

The fourth proportional to 427,868.08, 641,817 and 203,112.73 is: 304,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,868.08 : 641,817 = 203,112.73 : x
  2. Step 2: Convert to fraction form
    427,868.08/641,817 = 203,112.73/x
  3. Step 3: Cross multiply
    427,868.08x = 641,817 × 203,112.73
  4. Step 4: Simplify right side
    427,868.08x = 130,361,203,030.41
  5. Step 5: Solve for x
    x = 130,361,203,030.41/427,868.08
  6. Step 6: Final answer
    x = 304,676.16

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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.