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Finding the Fourth Proportional to 360,419.28, 540,642 and 123,760.56

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Solution

The fourth proportional to 360,419.28, 540,642 and 123,760.56 is: 185,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,419.28 : 540,642 = 123,760.56 : x
  2. Step 2: Convert to fraction form
    360,419.28/540,642 = 123,760.56/x
  3. Step 3: Cross multiply
    360,419.28x = 540,642 × 123,760.56
  4. Step 4: Simplify right side
    360,419.28x = 66,910,156,679.52
  5. Step 5: Solve for x
    x = 66,910,156,679.52/360,419.28
  6. Step 6: Final answer
    x = 185,645.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.