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Finding the Fourth Proportional to 471,103.56, 650,140.14 and 269,938.44

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Solution

The fourth proportional to 471,103.56, 650,140.14 and 269,938.44 is: 372,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,103.56 : 650,140.14 = 269,938.44 : x
  2. Step 2: Convert to fraction form
    471,103.56/650,140.14 = 269,938.44/x
  3. Step 3: Cross multiply
    471,103.56x = 650,140.14 × 269,938.44
  4. Step 4: Simplify right side
    471,103.56x = 175,497,815,172.98
  5. Step 5: Solve for x
    x = 175,497,815,172.98/471,103.56
  6. Step 6: Final answer
    x = 372,524.92

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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.