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Finding the Fourth Proportional to 324,081.42, 447,160.95 and 188,036.52

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Solution

The fourth proportional to 324,081.42, 447,160.95 and 188,036.52 is: 259,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,081.42 : 447,160.95 = 188,036.52 : x
  2. Step 2: Convert to fraction form
    324,081.42/447,160.95 = 188,036.52/x
  3. Step 3: Cross multiply
    324,081.42x = 447,160.95 × 188,036.52
  4. Step 4: Simplify right side
    324,081.42x = 84,082,588,917.89
  5. Step 5: Solve for x
    x = 84,082,588,917.89/324,081.42
  6. Step 6: Final answer
    x = 259,448.96

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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.