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Finding the Fourth Proportional to 306,716.88, 460,149.14 and 129,274.64

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Solution

The fourth proportional to 306,716.88, 460,149.14 and 129,274.64 is: 193,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,716.88 : 460,149.14 = 129,274.64 : x
  2. Step 2: Convert to fraction form
    306,716.88/460,149.14 = 129,274.64/x
  3. Step 3: Cross multiply
    306,716.88x = 460,149.14 × 129,274.64
  4. Step 4: Simplify right side
    306,716.88x = 59,485,614,419.81
  5. Step 5: Solve for x
    x = 59,485,614,419.81/306,716.88
  6. Step 6: Final answer
    x = 193,943.07

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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.