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Finding the Fourth Proportional to 275,900.70, 413,304.30 and 243,022.80

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Solution

The fourth proportional to 275,900.70, 413,304.30 and 243,022.80 is: 364,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,900.70 : 413,304.30 = 243,022.80 : x
  2. Step 2: Convert to fraction form
    275,900.70/413,304.30 = 243,022.80/x
  3. Step 3: Cross multiply
    275,900.70x = 413,304.30 × 243,022.80
  4. Step 4: Simplify right side
    275,900.70x = 100,442,368,238.04
  5. Step 5: Solve for x
    x = 100,442,368,238.04/275,900.70
  6. Step 6: Final answer
    x = 364,052.60

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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.