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Finding the Fourth Proportional to 409,974.80, 614,962.20 and 200,022.80

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Solution

The fourth proportional to 409,974.80, 614,962.20 and 200,022.80 is: 300,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,974.80 : 614,962.20 = 200,022.80 : x
  2. Step 2: Convert to fraction form
    409,974.80/614,962.20 = 200,022.80/x
  3. Step 3: Cross multiply
    409,974.80x = 614,962.20 × 200,022.80
  4. Step 4: Simplify right side
    409,974.80x = 123,006,461,138.16
  5. Step 5: Solve for x
    x = 123,006,461,138.16/409,974.80
  6. Step 6: Final answer
    x = 300,034.20

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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.