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Finding the Fourth Proportional to 416,709.09, 575,057.97 and 225,723.24

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Solution

The fourth proportional to 416,709.09, 575,057.97 and 225,723.24 is: 311,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,709.09 : 575,057.97 = 225,723.24 : x
  2. Step 2: Convert to fraction form
    416,709.09/575,057.97 = 225,723.24/x
  3. Step 3: Cross multiply
    416,709.09x = 575,057.97 × 225,723.24
  4. Step 4: Simplify right side
    416,709.09x = 129,803,948,176.22
  5. Step 5: Solve for x
    x = 129,803,948,176.22/416,709.09
  6. Step 6: Final answer
    x = 311,497.76

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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.