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Finding the Fourth Proportional to 466,228.24, 699,342.30 and 308,419.84

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Solution

The fourth proportional to 466,228.24, 699,342.30 and 308,419.84 is: 462,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,228.24 : 699,342.30 = 308,419.84 : x
  2. Step 2: Convert to fraction form
    466,228.24/699,342.30 = 308,419.84/x
  3. Step 3: Cross multiply
    466,228.24x = 699,342.30 × 308,419.84
  4. Step 4: Simplify right side
    466,228.24x = 215,691,040,271.23
  5. Step 5: Solve for x
    x = 215,691,040,271.23/466,228.24
  6. Step 6: Final answer
    x = 462,629.72

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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.