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Finding the Fourth Proportional to 397,777.36, 596,665.32 and 117,491.44

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Solution

The fourth proportional to 397,777.36, 596,665.32 and 117,491.44 is: 176,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,777.36 : 596,665.32 = 117,491.44 : x
  2. Step 2: Convert to fraction form
    397,777.36/596,665.32 = 117,491.44/x
  3. Step 3: Cross multiply
    397,777.36x = 596,665.32 × 117,491.44
  4. Step 4: Simplify right side
    397,777.36x = 70,103,067,644.86
  5. Step 5: Solve for x
    x = 70,103,067,644.86/397,777.36
  6. Step 6: Final answer
    x = 176,236.95

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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.