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Finding the Fourth Proportional to 541,362.48, 746,976.44 and 299,633.64

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Solution

The fourth proportional to 541,362.48, 746,976.44 and 299,633.64 is: 413,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,362.48 : 746,976.44 = 299,633.64 : x
  2. Step 2: Convert to fraction form
    541,362.48/746,976.44 = 299,633.64/x
  3. Step 3: Cross multiply
    541,362.48x = 746,976.44 × 299,633.64
  4. Step 4: Simplify right side
    541,362.48x = 223,819,269,711.44
  5. Step 5: Solve for x
    x = 223,819,269,711.44/541,362.48
  6. Step 6: Final answer
    x = 413,436.98

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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.