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Finding the Fourth Proportional to 416,834.29, 575,229.36 and 225,847.63

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Solution

The fourth proportional to 416,834.29, 575,229.36 and 225,847.63 is: 311,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,834.29 : 575,229.36 = 225,847.63 : x
  2. Step 2: Convert to fraction form
    416,834.29/575,229.36 = 225,847.63/x
  3. Step 3: Cross multiply
    416,834.29x = 575,229.36 × 225,847.63
  4. Step 4: Simplify right side
    416,834.29x = 129,914,187,662.42
  5. Step 5: Solve for x
    x = 129,914,187,662.42/416,834.29
  6. Step 6: Final answer
    x = 311,668.67

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1.5x scale

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.