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Finding the Fourth Proportional to 444,193, 613,000.97 and 242,989

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Solution

The fourth proportional to 444,193, 613,000.97 and 242,989 is: 335,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,193 : 613,000.97 = 242,989 : x
  2. Step 2: Convert to fraction form
    444,193/613,000.97 = 242,989/x
  3. Step 3: Cross multiply
    444,193x = 613,000.97 × 242,989
  4. Step 4: Simplify right side
    444,193x = 148,952,491,484.39
  5. Step 5: Solve for x
    x = 148,952,491,484.39/444,193
  6. Step 6: Final answer
    x = 335,332.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.