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Finding the Fourth Proportional to 324,043.88, 447,184.50 and 188,109.32

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Solution

The fourth proportional to 324,043.88, 447,184.50 and 188,109.32 is: 259,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,043.88 : 447,184.50 = 188,109.32 : x
  2. Step 2: Convert to fraction form
    324,043.88/447,184.50 = 188,109.32/x
  3. Step 3: Cross multiply
    324,043.88x = 447,184.50 × 188,109.32
  4. Step 4: Simplify right side
    324,043.88x = 84,119,572,209.54
  5. Step 5: Solve for x
    x = 84,119,572,209.54/324,043.88
  6. Step 6: Final answer
    x = 259,593.15

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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.