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Finding the Fourth Proportional to 519,675.20, 778,929.60 and 220,104.80

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Solution

The fourth proportional to 519,675.20, 778,929.60 and 220,104.80 is: 329,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,675.20 : 778,929.60 = 220,104.80 : x
  2. Step 2: Convert to fraction form
    519,675.20/778,929.60 = 220,104.80/x
  3. Step 3: Cross multiply
    519,675.20x = 778,929.60 × 220,104.80
  4. Step 4: Simplify right side
    519,675.20x = 171,446,143,822.08
  5. Step 5: Solve for x
    x = 171,446,143,822.08/519,675.20
  6. Step 6: Final answer
    x = 329,910.19

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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.