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Finding the Fourth Proportional to 541,015.70, 746,467.53 and 349,799

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Solution

The fourth proportional to 541,015.70, 746,467.53 and 349,799 is: 482,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,015.70 : 746,467.53 = 349,799 : x
  2. Step 2: Convert to fraction form
    541,015.70/746,467.53 = 349,799/x
  3. Step 3: Cross multiply
    541,015.70x = 746,467.53 × 349,799
  4. Step 4: Simplify right side
    541,015.70x = 261,113,595,526.47
  5. Step 5: Solve for x
    x = 261,113,595,526.47/541,015.70
  6. Step 6: Final answer
    x = 482,635.89

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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.