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Finding the Fourth Proportional to 307,512.40, 461,268.60 and 286,517.20

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Solution

The fourth proportional to 307,512.40, 461,268.60 and 286,517.20 is: 429,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,512.40 : 461,268.60 = 286,517.20 : x
  2. Step 2: Convert to fraction form
    307,512.40/461,268.60 = 286,517.20/x
  3. Step 3: Cross multiply
    307,512.40x = 461,268.60 × 286,517.20
  4. Step 4: Simplify right side
    307,512.40x = 132,161,387,719.92
  5. Step 5: Solve for x
    x = 132,161,387,719.92/307,512.40
  6. Step 6: Final answer
    x = 429,775.80

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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.