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Finding the Fourth Proportional to 541,131.87, 746,730.78 and 299,400.03

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Solution

The fourth proportional to 541,131.87, 746,730.78 and 299,400.03 is: 413,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,131.87 : 746,730.78 = 299,400.03 : x
  2. Step 2: Convert to fraction form
    541,131.87/746,730.78 = 299,400.03/x
  3. Step 3: Cross multiply
    541,131.87x = 746,730.78 × 299,400.03
  4. Step 4: Simplify right side
    541,131.87x = 223,571,217,933.92
  5. Step 5: Solve for x
    x = 223,571,217,933.92/541,131.87
  6. Step 6: Final answer
    x = 413,154.78

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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.