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Finding the Fourth Proportional to 416,879.48, 575,294.57 and 225,892.92

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Solution

The fourth proportional to 416,879.48, 575,294.57 and 225,892.92 is: 311,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,879.48 : 575,294.57 = 225,892.92 : x
  2. Step 2: Convert to fraction form
    416,879.48/575,294.57 = 225,892.92/x
  3. Step 3: Cross multiply
    416,879.48x = 575,294.57 × 225,892.92
  4. Step 4: Simplify right side
    416,879.48x = 129,954,972,152.43
  5. Step 5: Solve for x
    x = 129,954,972,152.43/416,879.48
  6. Step 6: Final answer
    x = 311,732.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.