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Finding the Fourth Proportional to 413,668.39, 620,504.20 and 273,395.83

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Solution

The fourth proportional to 413,668.39, 620,504.20 and 273,395.83 is: 410,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,668.39 : 620,504.20 = 273,395.83 : x
  2. Step 2: Convert to fraction form
    413,668.39/620,504.20 = 273,395.83/x
  3. Step 3: Cross multiply
    413,668.39x = 620,504.20 × 273,395.83
  4. Step 4: Simplify right side
    413,668.39x = 169,643,256,991.48
  5. Step 5: Solve for x
    x = 169,643,256,991.48/413,668.39
  6. Step 6: Final answer
    x = 410,094.81

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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.