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Finding the Fourth Proportional to 363,043.20, 544,564.80 and 205,579.20

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Solution

The fourth proportional to 363,043.20, 544,564.80 and 205,579.20 is: 308,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,043.20 : 544,564.80 = 205,579.20 : x
  2. Step 2: Convert to fraction form
    363,043.20/544,564.80 = 205,579.20/x
  3. Step 3: Cross multiply
    363,043.20x = 544,564.80 × 205,579.20
  4. Step 4: Simplify right side
    363,043.20x = 111,951,195,932.16
  5. Step 5: Solve for x
    x = 111,951,195,932.16/363,043.20
  6. Step 6: Final answer
    x = 308,368.80

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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.