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Finding the Fourth Proportional to 326,856.74, 490,004.31 and 113,596.95

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Solution

The fourth proportional to 326,856.74, 490,004.31 and 113,596.95 is: 170,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,856.74 : 490,004.31 = 113,596.95 : x
  2. Step 2: Convert to fraction form
    326,856.74/490,004.31 = 113,596.95/x
  3. Step 3: Cross multiply
    326,856.74x = 490,004.31 × 113,596.95
  4. Step 4: Simplify right side
    326,856.74x = 55,662,993,265.34
  5. Step 5: Solve for x
    x = 55,662,993,265.34/326,856.74
  6. Step 6: Final answer
    x = 170,297.83

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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.