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Finding the Fourth Proportional to 492,656.36, 738,967.26 and 137,667.56

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Solution

The fourth proportional to 492,656.36, 738,967.26 and 137,667.56 is: 206,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,656.36 : 738,967.26 = 137,667.56 : x
  2. Step 2: Convert to fraction form
    492,656.36/738,967.26 = 137,667.56/x
  3. Step 3: Cross multiply
    492,656.36x = 738,967.26 × 137,667.56
  4. Step 4: Simplify right side
    492,656.36x = 101,731,819,604.09
  5. Step 5: Solve for x
    x = 101,731,819,604.09/492,656.36
  6. Step 6: Final answer
    x = 206,496.51

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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.