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Finding the Fourth Proportional to 398,137.01, 596,732.27 and 277,542.18

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Solution

The fourth proportional to 398,137.01, 596,732.27 and 277,542.18 is: 415,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,137.01 : 596,732.27 = 277,542.18 : x
  2. Step 2: Convert to fraction form
    398,137.01/596,732.27 = 277,542.18/x
  3. Step 3: Cross multiply
    398,137.01x = 596,732.27 × 277,542.18
  4. Step 4: Simplify right side
    398,137.01x = 165,618,373,704.44
  5. Step 5: Solve for x
    x = 165,618,373,704.44/398,137.01
  6. Step 6: Final answer
    x = 415,983.37

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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.