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Finding the Fourth Proportional to 343,910.80, 515,866.20 and 320,582.80

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Solution

The fourth proportional to 343,910.80, 515,866.20 and 320,582.80 is: 480,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,910.80 : 515,866.20 = 320,582.80 : x
  2. Step 2: Convert to fraction form
    343,910.80/515,866.20 = 320,582.80/x
  3. Step 3: Cross multiply
    343,910.80x = 515,866.20 × 320,582.80
  4. Step 4: Simplify right side
    343,910.80x = 165,377,830,821.36
  5. Step 5: Solve for x
    x = 165,377,830,821.36/343,910.80
  6. Step 6: Final answer
    x = 480,874.20

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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.