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Finding the Fourth Proportional to 270,394.83, 405,561.26 and 70,734.49

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Solution

The fourth proportional to 270,394.83, 405,561.26 and 70,734.49 is: 106,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,394.83 : 405,561.26 = 70,734.49 : x
  2. Step 2: Convert to fraction form
    270,394.83/405,561.26 = 70,734.49/x
  3. Step 3: Cross multiply
    270,394.83x = 405,561.26 × 70,734.49
  4. Step 4: Simplify right side
    270,394.83x = 28,687,166,862.05
  5. Step 5: Solve for x
    x = 28,687,166,862.05/270,394.83
  6. Step 6: Final answer
    x = 106,093.62

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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.