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Finding the Fourth Proportional to 541,297.37, 746,912.16 and 299,579.36

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Solution

The fourth proportional to 541,297.37, 746,912.16 and 299,579.36 is: 413,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,297.37 : 746,912.16 = 299,579.36 : x
  2. Step 2: Convert to fraction form
    541,297.37/746,912.16 = 299,579.36/x
  3. Step 3: Cross multiply
    541,297.37x = 746,912.16 × 299,579.36
  4. Step 4: Simplify right side
    541,297.37x = 223,759,463,134.46
  5. Step 5: Solve for x
    x = 223,759,463,134.46/541,297.37
  6. Step 6: Final answer
    x = 413,376.23

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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.