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Finding the Fourth Proportional to 324,409.17, 447,619.73 and 181,147.17

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Solution

The fourth proportional to 324,409.17, 447,619.73 and 181,147.17 is: 249,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,409.17 : 447,619.73 = 181,147.17 : x
  2. Step 2: Convert to fraction form
    324,409.17/447,619.73 = 181,147.17/x
  3. Step 3: Cross multiply
    324,409.17x = 447,619.73 × 181,147.17
  4. Step 4: Simplify right side
    324,409.17x = 81,085,046,419.93
  5. Step 5: Solve for x
    x = 81,085,046,419.93/324,409.17
  6. Step 6: Final answer
    x = 249,946.84

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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.