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Finding the Fourth Proportional to 270,475.62, 405,946.71 and 104,380.26

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Solution

The fourth proportional to 270,475.62, 405,946.71 and 104,380.26 is: 156,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,475.62 : 405,946.71 = 104,380.26 : x
  2. Step 2: Convert to fraction form
    270,475.62/405,946.71 = 104,380.26/x
  3. Step 3: Cross multiply
    270,475.62x = 405,946.71 × 104,380.26
  4. Step 4: Simplify right side
    270,475.62x = 42,372,823,135.94
  5. Step 5: Solve for x
    x = 42,372,823,135.94/270,475.62
  6. Step 6: Final answer
    x = 156,660.42

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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.