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Finding the Fourth Proportional to 324,582.94, 447,847.69 and 188,536.05

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Solution

The fourth proportional to 324,582.94, 447,847.69 and 188,536.05 is: 260,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,582.94 : 447,847.69 = 188,536.05 : x
  2. Step 2: Convert to fraction form
    324,582.94/447,847.69 = 188,536.05/x
  3. Step 3: Cross multiply
    324,582.94x = 447,847.69 × 188,536.05
  4. Step 4: Simplify right side
    324,582.94x = 84,435,434,474.22
  5. Step 5: Solve for x
    x = 84,435,434,474.22/324,582.94
  6. Step 6: Final answer
    x = 260,135.16

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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.