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Finding the Fourth Proportional to 646,218.24, 969,480.64 and 202,986.24

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Solution

The fourth proportional to 646,218.24, 969,480.64 and 202,986.24 is: 304,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,218.24 : 969,480.64 = 202,986.24 : x
  2. Step 2: Convert to fraction form
    646,218.24/969,480.64 = 202,986.24/x
  3. Step 3: Cross multiply
    646,218.24x = 969,480.64 × 202,986.24
  4. Step 4: Simplify right side
    646,218.24x = 196,791,229,866.39
  5. Step 5: Solve for x
    x = 196,791,229,866.39/646,218.24
  6. Step 6: Final answer
    x = 304,527.51

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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.