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Finding the Fourth Proportional to 324,062.16, 447,134.04 and 188,017.26

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Solution

The fourth proportional to 324,062.16, 447,134.04 and 188,017.26 is: 259,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,062.16 : 447,134.04 = 188,017.26 : x
  2. Step 2: Convert to fraction form
    324,062.16/447,134.04 = 188,017.26/x
  3. Step 3: Cross multiply
    324,062.16x = 447,134.04 × 188,017.26
  4. Step 4: Simplify right side
    324,062.16x = 84,068,917,053.53
  5. Step 5: Solve for x
    x = 84,068,917,053.53/324,062.16
  6. Step 6: Final answer
    x = 259,422.20

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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.