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Finding the Fourth Proportional to 326,125.41, 449,967.41 and 188,270.57

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Solution

The fourth proportional to 326,125.41, 449,967.41 and 188,270.57 is: 259,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,125.41 : 449,967.41 = 188,270.57 : x
  2. Step 2: Convert to fraction form
    326,125.41/449,967.41 = 188,270.57/x
  3. Step 3: Cross multiply
    326,125.41x = 449,967.41 × 188,270.57
  4. Step 4: Simplify right side
    326,125.41x = 84,715,617,570.93
  5. Step 5: Solve for x
    x = 84,715,617,570.93/326,125.41
  6. Step 6: Final answer
    x = 259,763.93

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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.