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Finding the Fourth Proportional to 557,732.64, 836,229.12 and 202,704.48

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Solution

The fourth proportional to 557,732.64, 836,229.12 and 202,704.48 is: 303,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,732.64 : 836,229.12 = 202,704.48 : x
  2. Step 2: Convert to fraction form
    557,732.64/836,229.12 = 202,704.48/x
  3. Step 3: Cross multiply
    557,732.64x = 836,229.12 × 202,704.48
  4. Step 4: Simplify right side
    557,732.64x = 169,507,388,930.46
  5. Step 5: Solve for x
    x = 169,507,388,930.46/557,732.64
  6. Step 6: Final answer
    x = 303,922.30

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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.