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Finding the Fourth Proportional to 650,434.28, 975,651.40 and 428,766.44

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Solution

The fourth proportional to 650,434.28, 975,651.40 and 428,766.44 is: 643,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,434.28 : 975,651.40 = 428,766.44 : x
  2. Step 2: Convert to fraction form
    650,434.28/975,651.40 = 428,766.44/x
  3. Step 3: Cross multiply
    650,434.28x = 975,651.40 × 428,766.44
  4. Step 4: Simplify right side
    650,434.28x = 418,326,577,459.02
  5. Step 5: Solve for x
    x = 418,326,577,459.02/650,434.28
  6. Step 6: Final answer
    x = 643,149.65

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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.