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Finding the Fourth Proportional to 541,669.96, 811,809.54 and 204,308.80

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Solution

The fourth proportional to 541,669.96, 811,809.54 and 204,308.80 is: 306,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,669.96 : 811,809.54 = 204,308.80 : x
  2. Step 2: Convert to fraction form
    541,669.96/811,809.54 = 204,308.80/x
  3. Step 3: Cross multiply
    541,669.96x = 811,809.54 × 204,308.80
  4. Step 4: Simplify right side
    541,669.96x = 165,859,832,945.95
  5. Step 5: Solve for x
    x = 165,859,832,945.95/541,669.96
  6. Step 6: Final answer
    x = 306,200.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.