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Finding the Fourth Proportional to 416,639.16, 574,960.95 and 225,651.96

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Solution

The fourth proportional to 416,639.16, 574,960.95 and 225,651.96 is: 311,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,639.16 : 574,960.95 = 225,651.96 : x
  2. Step 2: Convert to fraction form
    416,639.16/574,960.95 = 225,651.96/x
  3. Step 3: Cross multiply
    416,639.16x = 574,960.95 × 225,651.96
  4. Step 4: Simplify right side
    416,639.16x = 129,741,065,290.96
  5. Step 5: Solve for x
    x = 129,741,065,290.96/416,639.16
  6. Step 6: Final answer
    x = 311,399.11

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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.