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Finding the Fourth Proportional to 301,278.56, 415,777.44 and 180,439.52

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Solution

The fourth proportional to 301,278.56, 415,777.44 and 180,439.52 is: 249,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,278.56 : 415,777.44 = 180,439.52 : x
  2. Step 2: Convert to fraction form
    301,278.56/415,777.44 = 180,439.52/x
  3. Step 3: Cross multiply
    301,278.56x = 415,777.44 × 180,439.52
  4. Step 4: Simplify right side
    301,278.56x = 75,022,681,700.43
  5. Step 5: Solve for x
    x = 75,022,681,700.43/301,278.56
  6. Step 6: Final answer
    x = 249,014.34

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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.