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Finding the Fourth Proportional to 410,879.89, 616,350.77 and 122,668.74

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Solution

The fourth proportional to 410,879.89, 616,350.77 and 122,668.74 is: 184,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,879.89 : 616,350.77 = 122,668.74 : x
  2. Step 2: Convert to fraction form
    410,879.89/616,350.77 = 122,668.74/x
  3. Step 3: Cross multiply
    410,879.89x = 616,350.77 × 122,668.74
  4. Step 4: Simplify right side
    410,879.89x = 75,606,972,353.93
  5. Step 5: Solve for x
    x = 75,606,972,353.93/410,879.89
  6. Step 6: Final answer
    x = 184,012.35

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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.