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Finding the Fourth Proportional to 416,583.14, 574,883.58 and 225,596.48

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Solution

The fourth proportional to 416,583.14, 574,883.58 and 225,596.48 is: 311,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,583.14 : 574,883.58 = 225,596.48 : x
  2. Step 2: Convert to fraction form
    416,583.14/574,883.58 = 225,596.48/x
  3. Step 3: Cross multiply
    416,583.14x = 574,883.58 × 225,596.48
  4. Step 4: Simplify right side
    416,583.14x = 129,691,712,057.80
  5. Step 5: Solve for x
    x = 129,691,712,057.80/416,583.14
  6. Step 6: Final answer
    x = 311,322.52

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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.