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Finding the Fourth Proportional to 344,942.40, 476,019.84 and 194,039.40

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Solution

The fourth proportional to 344,942.40, 476,019.84 and 194,039.40 is: 267,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,942.40 : 476,019.84 = 194,039.40 : x
  2. Step 2: Convert to fraction form
    344,942.40/476,019.84 = 194,039.40/x
  3. Step 3: Cross multiply
    344,942.40x = 476,019.84 × 194,039.40
  4. Step 4: Simplify right side
    344,942.40x = 92,366,604,141.70
  5. Step 5: Solve for x
    x = 92,366,604,141.70/344,942.40
  6. Step 6: Final answer
    x = 267,773.99

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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.