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Finding the Fourth Proportional to 416,230.43, 574,397.96 and 225,243.81

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Solution

The fourth proportional to 416,230.43, 574,397.96 and 225,243.81 is: 310,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230.43 : 574,397.96 = 225,243.81 : x
  2. Step 2: Convert to fraction form
    416,230.43/574,397.96 = 225,243.81/x
  3. Step 3: Cross multiply
    416,230.43x = 574,397.96 × 225,243.81
  4. Step 4: Simplify right side
    416,230.43x = 129,379,585,529.74
  5. Step 5: Solve for x
    x = 129,379,585,529.74/416,230.43
  6. Step 6: Final answer
    x = 310,836.44

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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.