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Finding the Fourth Proportional to 416,643.12, 574,967.97 and 225,656.73

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Solution

The fourth proportional to 416,643.12, 574,967.97 and 225,656.73 is: 311,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,643.12 : 574,967.97 = 225,656.73 : x
  2. Step 2: Convert to fraction form
    416,643.12/574,967.97 = 225,656.73/x
  3. Step 3: Cross multiply
    416,643.12x = 574,967.97 × 225,656.73
  4. Step 4: Simplify right side
    416,643.12x = 129,745,391,964.94
  5. Step 5: Solve for x
    x = 129,745,391,964.94/416,643.12
  6. Step 6: Final answer
    x = 311,406.54

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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.