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Finding the Fourth Proportional to 416,617.83, 574,932.06 and 225,631.98

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Solution

The fourth proportional to 416,617.83, 574,932.06 and 225,631.98 is: 311,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,617.83 : 574,932.06 = 225,631.98 : x
  2. Step 2: Convert to fraction form
    416,617.83/574,932.06 = 225,631.98/x
  3. Step 3: Cross multiply
    416,617.83x = 574,932.06 × 225,631.98
  4. Step 4: Simplify right side
    416,617.83x = 129,723,059,063.28
  5. Step 5: Solve for x
    x = 129,723,059,063.28/416,617.83
  6. Step 6: Final answer
    x = 311,371.84

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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.