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Finding the Fourth Proportional to 299,716.47, 449,564.33 and 75,078.84

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Solution

The fourth proportional to 299,716.47, 449,564.33 and 75,078.84 is: 112,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,716.47 : 449,564.33 = 75,078.84 : x
  2. Step 2: Convert to fraction form
    299,716.47/449,564.33 = 75,078.84/x
  3. Step 3: Cross multiply
    299,716.47x = 449,564.33 × 75,078.84
  4. Step 4: Simplify right side
    299,716.47x = 33,752,768,401.78
  5. Step 5: Solve for x
    x = 33,752,768,401.78/299,716.47
  6. Step 6: Final answer
    x = 112,615.66

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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.