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Finding the Fourth Proportional to 492,842.10, 739,151.64 and 226,346.43

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Solution

The fourth proportional to 492,842.10, 739,151.64 and 226,346.43 is: 339,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,842.10 : 739,151.64 = 226,346.43 : x
  2. Step 2: Convert to fraction form
    492,842.10/739,151.64 = 226,346.43/x
  3. Step 3: Cross multiply
    492,842.10x = 739,151.64 × 226,346.43
  4. Step 4: Simplify right side
    492,842.10x = 167,304,334,942.65
  5. Step 5: Solve for x
    x = 167,304,334,942.65/492,842.10
  6. Step 6: Final answer
    x = 339,468.43

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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.