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Finding the Fourth Proportional to 675,432.80, 1,013,019.60 and 202,133.60

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Solution

The fourth proportional to 675,432.80, 1,013,019.60 and 202,133.60 is: 303,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,432.80 : 1,013,019.60 = 202,133.60 : x
  2. Step 2: Convert to fraction form
    675,432.80/1,013,019.60 = 202,133.60/x
  3. Step 3: Cross multiply
    675,432.80x = 1,013,019.60 × 202,133.60
  4. Step 4: Simplify right side
    675,432.80x = 204,765,298,618.56
  5. Step 5: Solve for x
    x = 204,765,298,618.56/675,432.80
  6. Step 6: Final answer
    x = 303,161.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.