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Finding the Fourth Proportional to 325,808.82, 449,641.40 and 182,582.19

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Solution

The fourth proportional to 325,808.82, 449,641.40 and 182,582.19 is: 251,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,808.82 : 449,641.40 = 182,582.19 : x
  2. Step 2: Convert to fraction form
    325,808.82/449,641.40 = 182,582.19/x
  3. Step 3: Cross multiply
    325,808.82x = 449,641.40 × 182,582.19
  4. Step 4: Simplify right side
    325,808.82x = 82,096,510,613.76
  5. Step 5: Solve for x
    x = 82,096,510,613.76/325,808.82
  6. Step 6: Final answer
    x = 251,977.56

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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.