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Finding the Fourth Proportional to 326,944.85, 490,496.31 and 113,681.97

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Solution

The fourth proportional to 326,944.85, 490,496.31 and 113,681.97 is: 170,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,944.85 : 490,496.31 = 113,681.97 : x
  2. Step 2: Convert to fraction form
    326,944.85/490,496.31 = 113,681.97/x
  3. Step 3: Cross multiply
    326,944.85x = 490,496.31 × 113,681.97
  4. Step 4: Simplify right side
    326,944.85x = 55,760,586,798.53
  5. Step 5: Solve for x
    x = 55,760,586,798.53/326,944.85
  6. Step 6: Final answer
    x = 170,550.44

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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.