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Finding the Fourth Proportional to 538,874.40, 743,629.60 and 297,167.16

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Solution

The fourth proportional to 538,874.40, 743,629.60 and 297,167.16 is: 410,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,874.40 : 743,629.60 = 297,167.16 : x
  2. Step 2: Convert to fraction form
    538,874.40/743,629.60 = 297,167.16/x
  3. Step 3: Cross multiply
    538,874.40x = 743,629.60 × 297,167.16
  4. Step 4: Simplify right side
    538,874.40x = 220,982,296,323.94
  5. Step 5: Solve for x
    x = 220,982,296,323.94/538,874.40
  6. Step 6: Final answer
    x = 410,081.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.