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Finding the Fourth Proportional to 519,206.08, 778,474.32 and 203,694.88

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Solution

The fourth proportional to 519,206.08, 778,474.32 and 203,694.88 is: 305,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,206.08 : 778,474.32 = 203,694.88 : x
  2. Step 2: Convert to fraction form
    519,206.08/778,474.32 = 203,694.88/x
  3. Step 3: Cross multiply
    519,206.08x = 778,474.32 × 203,694.88
  4. Step 4: Simplify right side
    519,206.08x = 158,571,233,195.48
  5. Step 5: Solve for x
    x = 158,571,233,195.48/519,206.08
  6. Step 6: Final answer
    x = 305,410.97

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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.