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Finding the Fourth Proportional to 324,419.12, 447,699.44 and 181,184.48

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Solution

The fourth proportional to 324,419.12, 447,699.44 and 181,184.48 is: 250,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,419.12 : 447,699.44 = 181,184.48 : x
  2. Step 2: Convert to fraction form
    324,419.12/447,699.44 = 181,184.48/x
  3. Step 3: Cross multiply
    324,419.12x = 447,699.44 × 181,184.48
  4. Step 4: Simplify right side
    324,419.12x = 81,116,190,232.69
  5. Step 5: Solve for x
    x = 81,116,190,232.69/324,419.12
  6. Step 6: Final answer
    x = 250,035.17

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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.