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Finding the Fourth Proportional to 413,793.63, 620,554.91 and 133,245.27

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Solution

The fourth proportional to 413,793.63, 620,554.91 and 133,245.27 is: 199,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,793.63 : 620,554.91 = 133,245.27 : x
  2. Step 2: Convert to fraction form
    413,793.63/620,554.91 = 133,245.27/x
  3. Step 3: Cross multiply
    413,793.63x = 620,554.91 × 133,245.27
  4. Step 4: Simplify right side
    413,793.63x = 82,686,005,866.55
  5. Step 5: Solve for x
    x = 82,686,005,866.55/413,793.63
  6. Step 6: Final answer
    x = 199,824.26

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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.