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Finding the Fourth Proportional to 543,862.80, 816,085.80 and 228,351.60

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Solution

The fourth proportional to 543,862.80, 816,085.80 and 228,351.60 is: 342,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,862.80 : 816,085.80 = 228,351.60 : x
  2. Step 2: Convert to fraction form
    543,862.80/816,085.80 = 228,351.60/x
  3. Step 3: Cross multiply
    543,862.80x = 816,085.80 × 228,351.60
  4. Step 4: Simplify right side
    543,862.80x = 186,354,498,167.28
  5. Step 5: Solve for x
    x = 186,354,498,167.28/543,862.80
  6. Step 6: Final answer
    x = 342,649.83

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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.