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Finding the Fourth Proportional to 324,302.82, 447,508.44 and 181,036.50

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Solution

The fourth proportional to 324,302.82, 447,508.44 and 181,036.50 is: 249,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,302.82 : 447,508.44 = 181,036.50 : x
  2. Step 2: Convert to fraction form
    324,302.82/447,508.44 = 181,036.50/x
  3. Step 3: Cross multiply
    324,302.82x = 447,508.44 × 181,036.50
  4. Step 4: Simplify right side
    324,302.82x = 81,015,361,698.06
  5. Step 5: Solve for x
    x = 81,015,361,698.06/324,302.82
  6. Step 6: Final answer
    x = 249,813.93

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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.