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Finding the Fourth Proportional to 416,659.88, 574,990.65 and 225,674.66

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Solution

The fourth proportional to 416,659.88, 574,990.65 and 225,674.66 is: 311,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,659.88 : 574,990.65 = 225,674.66 : x
  2. Step 2: Convert to fraction form
    416,659.88/574,990.65 = 225,674.66/x
  3. Step 3: Cross multiply
    416,659.88x = 574,990.65 × 225,674.66
  4. Step 4: Simplify right side
    416,659.88x = 129,760,816,566.98
  5. Step 5: Solve for x
    x = 129,760,816,566.98/416,659.88
  6. Step 6: Final answer
    x = 311,431.04

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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.