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Finding the Fourth Proportional to 324,704.16, 448,090.38 and 181,464.17

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Solution

The fourth proportional to 324,704.16, 448,090.38 and 181,464.17 is: 250,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,704.16 : 448,090.38 = 181,464.17 : x
  2. Step 2: Convert to fraction form
    324,704.16/448,090.38 = 181,464.17/x
  3. Step 3: Cross multiply
    324,704.16x = 448,090.38 × 181,464.17
  4. Step 4: Simplify right side
    324,704.16x = 81,312,346,651.23
  5. Step 5: Solve for x
    x = 81,312,346,651.23/324,704.16
  6. Step 6: Final answer
    x = 250,419.79

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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.