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Finding the Fourth Proportional to 324,406.76, 447,676.62 and 181,165.28

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Solution

The fourth proportional to 324,406.76, 447,676.62 and 181,165.28 is: 250,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,406.76 : 447,676.62 = 181,165.28 : x
  2. Step 2: Convert to fraction form
    324,406.76/447,676.62 = 181,165.28/x
  3. Step 3: Cross multiply
    324,406.76x = 447,676.62 × 181,165.28
  4. Step 4: Simplify right side
    324,406.76x = 81,103,460,211.75
  5. Step 5: Solve for x
    x = 81,103,460,211.75/324,406.76
  6. Step 6: Final answer
    x = 250,005.46

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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.