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Finding the Fourth Proportional to 543,856.80, 816,076.80 and 228,345.60

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Solution

The fourth proportional to 543,856.80, 816,076.80 and 228,345.60 is: 342,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,856.80 : 816,076.80 = 228,345.60 : x
  2. Step 2: Convert to fraction form
    543,856.80/816,076.80 = 228,345.60/x
  3. Step 3: Cross multiply
    543,856.80x = 816,076.80 × 228,345.60
  4. Step 4: Simplify right side
    543,856.80x = 186,347,546,542.08
  5. Step 5: Solve for x
    x = 186,347,546,542.08/543,856.80
  6. Step 6: Final answer
    x = 342,640.83

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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.