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Finding the Fourth Proportional to 416,513.97, 574,789.69 and 225,526.90

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Solution

The fourth proportional to 416,513.97, 574,789.69 and 225,526.90 is: 311,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,513.97 : 574,789.69 = 225,526.90 : x
  2. Step 2: Convert to fraction form
    416,513.97/574,789.69 = 225,526.90/x
  3. Step 3: Cross multiply
    416,513.97x = 574,789.69 × 225,526.90
  4. Step 4: Simplify right side
    416,513.97x = 129,630,536,937.66
  5. Step 5: Solve for x
    x = 129,630,536,937.66/416,513.97
  6. Step 6: Final answer
    x = 311,227.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.