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Finding the Fourth Proportional to 324,095.09, 446,998.31 and 207,819.59

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Solution

The fourth proportional to 324,095.09, 446,998.31 and 207,819.59 is: 286,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,095.09 : 446,998.31 = 207,819.59 : x
  2. Step 2: Convert to fraction form
    324,095.09/446,998.31 = 207,819.59/x
  3. Step 3: Cross multiply
    324,095.09x = 446,998.31 × 207,819.59
  4. Step 4: Simplify right side
    324,095.09x = 92,895,006,703.48
  5. Step 5: Solve for x
    x = 92,895,006,703.48/324,095.09
  6. Step 6: Final answer
    x = 286,628.86

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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.