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Finding the Fourth Proportional to 538,568.50, 743,229.64 and 296,860.44

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Solution

The fourth proportional to 538,568.50, 743,229.64 and 296,860.44 is: 409,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,568.50 : 743,229.64 = 296,860.44 : x
  2. Step 2: Convert to fraction form
    538,568.50/743,229.64 = 296,860.44/x
  3. Step 3: Cross multiply
    538,568.50x = 743,229.64 × 296,860.44
  4. Step 4: Simplify right side
    538,568.50x = 220,635,477,951.44
  5. Step 5: Solve for x
    x = 220,635,477,951.44/538,568.50
  6. Step 6: Final answer
    x = 409,670.22

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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.