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Finding the Fourth Proportional to 543,946.80, 816,211.80 and 228,435.60

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Solution

The fourth proportional to 543,946.80, 816,211.80 and 228,435.60 is: 342,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,946.80 : 816,211.80 = 228,435.60 : x
  2. Step 2: Convert to fraction form
    543,946.80/816,211.80 = 228,435.60/x
  3. Step 3: Cross multiply
    543,946.80x = 816,211.80 × 228,435.60
  4. Step 4: Simplify right side
    543,946.80x = 186,451,832,260.08
  5. Step 5: Solve for x
    x = 186,451,832,260.08/543,946.80
  6. Step 6: Final answer
    x = 342,775.86

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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.