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Finding the Fourth Proportional to 541,138.41, 746,763.57 and 299,416.59

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Solution

The fourth proportional to 541,138.41, 746,763.57 and 299,416.59 is: 413,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,138.41 : 746,763.57 = 299,416.59 : x
  2. Step 2: Convert to fraction form
    541,138.41/746,763.57 = 299,416.59/x
  3. Step 3: Cross multiply
    541,138.41x = 746,763.57 × 299,416.59
  4. Step 4: Simplify right side
    541,138.41x = 223,593,401,665.63
  5. Step 5: Solve for x
    x = 223,593,401,665.63/541,138.41
  6. Step 6: Final answer
    x = 413,190.78

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1.5x scale

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.