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Finding the Fourth Proportional to 260,583.28, 359,601.48 and 147,406

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Solution

The fourth proportional to 260,583.28, 359,601.48 and 147,406 is: 203,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,583.28 : 359,601.48 = 147,406 : x
  2. Step 2: Convert to fraction form
    260,583.28/359,601.48 = 147,406/x
  3. Step 3: Cross multiply
    260,583.28x = 359,601.48 × 147,406
  4. Step 4: Simplify right side
    260,583.28x = 53,007,415,760.88
  5. Step 5: Solve for x
    x = 53,007,415,760.88/260,583.28
  6. Step 6: Final answer
    x = 203,418.33

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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.