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Finding the Fourth Proportional to 453,488.80, 680,305.20 and 153,997.60

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Solution

The fourth proportional to 453,488.80, 680,305.20 and 153,997.60 is: 231,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,488.80 : 680,305.20 = 153,997.60 : x
  2. Step 2: Convert to fraction form
    453,488.80/680,305.20 = 153,997.60/x
  3. Step 3: Cross multiply
    453,488.80x = 680,305.20 × 153,997.60
  4. Step 4: Simplify right side
    453,488.80x = 104,765,368,067.52
  5. Step 5: Solve for x
    x = 104,765,368,067.52/453,488.80
  6. Step 6: Final answer
    x = 231,020.85

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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.