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Finding the Fourth Proportional to 538,452.21, 743,082.70 and 293,457.41

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Solution

The fourth proportional to 538,452.21, 743,082.70 and 293,457.41 is: 404,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,452.21 : 743,082.70 = 293,457.41 : x
  2. Step 2: Convert to fraction form
    538,452.21/743,082.70 = 293,457.41/x
  3. Step 3: Cross multiply
    538,452.21x = 743,082.70 × 293,457.41
  4. Step 4: Simplify right side
    538,452.21x = 218,063,120,842.39
  5. Step 5: Solve for x
    x = 218,063,120,842.39/538,452.21
  6. Step 6: Final answer
    x = 404,981.38

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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.