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Finding the Fourth Proportional to 516,558.94, 774,846.19 and 196,728.49

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Solution

The fourth proportional to 516,558.94, 774,846.19 and 196,728.49 is: 295,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,558.94 : 774,846.19 = 196,728.49 : x
  2. Step 2: Convert to fraction form
    516,558.94/774,846.19 = 196,728.49/x
  3. Step 3: Cross multiply
    516,558.94x = 774,846.19 × 196,728.49
  4. Step 4: Simplify right side
    516,558.94x = 152,434,318,512.02
  5. Step 5: Solve for x
    x = 152,434,318,512.02/516,558.94
  6. Step 6: Final answer
    x = 295,095.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.