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Finding the Fourth Proportional to 383,879.32, 575,903.22 and 117,659.86

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Solution

The fourth proportional to 383,879.32, 575,903.22 and 117,659.86 is: 176,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,879.32 : 575,903.22 = 117,659.86 : x
  2. Step 2: Convert to fraction form
    383,879.32/575,903.22 = 117,659.86/x
  3. Step 3: Cross multiply
    383,879.32x = 575,903.22 × 117,659.86
  4. Step 4: Simplify right side
    383,879.32x = 67,760,694,589.98
  5. Step 5: Solve for x
    x = 67,760,694,589.98/383,879.32
  6. Step 6: Final answer
    x = 176,515.61

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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.