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Finding the Fourth Proportional to 362,197.90, 543,654.42 and 271,926.64

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Solution

The fourth proportional to 362,197.90, 543,654.42 and 271,926.64 is: 408,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,197.90 : 543,654.42 = 271,926.64 : x
  2. Step 2: Convert to fraction form
    362,197.90/543,654.42 = 271,926.64/x
  3. Step 3: Cross multiply
    362,197.90x = 543,654.42 × 271,926.64
  4. Step 4: Simplify right side
    362,197.90x = 147,834,119,751.75
  5. Step 5: Solve for x
    x = 147,834,119,751.75/362,197.90
  6. Step 6: Final answer
    x = 408,158.41

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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.