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Finding the Fourth Proportional to 410,814.54, 616,729.25 and 194,879.72

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Solution

The fourth proportional to 410,814.54, 616,729.25 and 194,879.72 is: 292,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,814.54 : 616,729.25 = 194,879.72 : x
  2. Step 2: Convert to fraction form
    410,814.54/616,729.25 = 194,879.72/x
  3. Step 3: Cross multiply
    410,814.54x = 616,729.25 × 194,879.72
  4. Step 4: Simplify right side
    410,814.54x = 120,188,025,584.83
  5. Step 5: Solve for x
    x = 120,188,025,584.83/410,814.54
  6. Step 6: Final answer
    x = 292,560.30

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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.