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Finding the Fourth Proportional to 349,162, 481,807.76 and 196,175.86

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Solution

The fourth proportional to 349,162, 481,807.76 and 196,175.86 is: 270,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,162 : 481,807.76 = 196,175.86 : x
  2. Step 2: Convert to fraction form
    349,162/481,807.76 = 196,175.86/x
  3. Step 3: Cross multiply
    349,162x = 481,807.76 × 196,175.86
  4. Step 4: Simplify right side
    349,162x = 94,519,051,672.67
  5. Step 5: Solve for x
    x = 94,519,051,672.67/349,162
  6. Step 6: Final answer
    x = 270,702.57

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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.