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Finding the Fourth Proportional to 519,190.65, 778,786.02 and 219,593.52

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Solution

The fourth proportional to 519,190.65, 778,786.02 and 219,593.52 is: 329,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,190.65 : 778,786.02 = 219,593.52 : x
  2. Step 2: Convert to fraction form
    519,190.65/778,786.02 = 219,593.52/x
  3. Step 3: Cross multiply
    519,190.65x = 778,786.02 × 219,593.52
  4. Step 4: Simplify right side
    519,190.65x = 171,016,363,458.59
  5. Step 5: Solve for x
    x = 171,016,363,458.59/519,190.65
  6. Step 6: Final answer
    x = 329,390.30

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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.