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Finding the Fourth Proportional to 732,843.14, 1,099,369.04 and 227,447.78

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Solution

The fourth proportional to 732,843.14, 1,099,369.04 and 227,447.78 is: 341,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,843.14 : 1,099,369.04 = 227,447.78 : x
  2. Step 2: Convert to fraction form
    732,843.14/1,099,369.04 = 227,447.78/x
  3. Step 3: Cross multiply
    732,843.14x = 1,099,369.04 × 227,447.78
  4. Step 4: Simplify right side
    732,843.14x = 250,049,047,548.73
  5. Step 5: Solve for x
    x = 250,049,047,548.73/732,843.14
  6. Step 6: Final answer
    x = 341,204.05

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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.