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Finding the Fourth Proportional to 413,668.38, 620,504.20 and 273,395.82

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Solution

The fourth proportional to 413,668.38, 620,504.20 and 273,395.82 is: 410,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,668.38 : 620,504.20 = 273,395.82 : x
  2. Step 2: Convert to fraction form
    413,668.38/620,504.20 = 273,395.82/x
  3. Step 3: Cross multiply
    413,668.38x = 620,504.20 × 273,395.82
  4. Step 4: Simplify right side
    413,668.38x = 169,643,255,703.23
  5. Step 5: Solve for x
    x = 169,643,255,703.23/413,668.38
  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.