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Finding the Fourth Proportional to 541,137.84, 746,706.24 and 299,388.48

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Solution

The fourth proportional to 541,137.84, 746,706.24 and 299,388.48 is: 413,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,137.84 : 746,706.24 = 299,388.48 : x
  2. Step 2: Convert to fraction form
    541,137.84/746,706.24 = 299,388.48/x
  3. Step 3: Cross multiply
    541,137.84x = 746,706.24 × 299,388.48
  4. Step 4: Simplify right side
    541,137.84x = 223,555,246,200.12
  5. Step 5: Solve for x
    x = 223,555,246,200.12/541,137.84
  6. Step 6: Final answer
    x = 413,120.71

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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.