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Finding the Fourth Proportional to 326,047.80, 449,964.54 and 182,800.92

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Solution

The fourth proportional to 326,047.80, 449,964.54 and 182,800.92 is: 252,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,047.80 : 449,964.54 = 182,800.92 : x
  2. Step 2: Convert to fraction form
    326,047.80/449,964.54 = 182,800.92/x
  3. Step 3: Cross multiply
    326,047.80x = 449,964.54 × 182,800.92
  4. Step 4: Simplify right side
    326,047.80x = 82,253,931,879.38
  5. Step 5: Solve for x
    x = 82,253,931,879.38/326,047.80
  6. Step 6: Final answer
    x = 252,275.68

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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.