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Finding the Fourth Proportional to 300,658.23, 414,943.29 and 173,338.38

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Solution

The fourth proportional to 300,658.23, 414,943.29 and 173,338.38 is: 239,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,658.23 : 414,943.29 = 173,338.38 : x
  2. Step 2: Convert to fraction form
    300,658.23/414,943.29 = 173,338.38/x
  3. Step 3: Cross multiply
    300,658.23x = 414,943.29 × 173,338.38
  4. Step 4: Simplify right side
    300,658.23x = 71,925,597,680.47
  5. Step 5: Solve for x
    x = 71,925,597,680.47/300,658.23
  6. Step 6: Final answer
    x = 239,227.10

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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.