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Finding the Fourth Proportional to 418,236.96, 627,002.78 and 181,401.27

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Solution

The fourth proportional to 418,236.96, 627,002.78 and 181,401.27 is: 271,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,236.96 : 627,002.78 = 181,401.27 : x
  2. Step 2: Convert to fraction form
    418,236.96/627,002.78 = 181,401.27/x
  3. Step 3: Cross multiply
    418,236.96x = 627,002.78 × 181,401.27
  4. Step 4: Simplify right side
    418,236.96x = 113,739,099,678.52
  5. Step 5: Solve for x
    x = 113,739,099,678.52/418,236.96
  6. Step 6: Final answer
    x = 271,948.94

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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.