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Finding the Fourth Proportional to 324,274.73, 447,457.16 and 181,040.81

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Solution

The fourth proportional to 324,274.73, 447,457.16 and 181,040.81 is: 249,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,274.73 : 447,457.16 = 181,040.81 : x
  2. Step 2: Convert to fraction form
    324,274.73/447,457.16 = 181,040.81/x
  3. Step 3: Cross multiply
    324,274.73x = 447,457.16 × 181,040.81
  4. Step 4: Simplify right side
    324,274.73x = 81,008,004,902.02
  5. Step 5: Solve for x
    x = 81,008,004,902.02/324,274.73
  6. Step 6: Final answer
    x = 249,812.89

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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.