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Finding the Fourth Proportional to 303,973.26, 455,959.90 and 82,357.26

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Solution

The fourth proportional to 303,973.26, 455,959.90 and 82,357.26 is: 123,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,973.26 : 455,959.90 = 82,357.26 : x
  2. Step 2: Convert to fraction form
    303,973.26/455,959.90 = 82,357.26/x
  3. Step 3: Cross multiply
    303,973.26x = 455,959.90 × 82,357.26
  4. Step 4: Simplify right side
    303,973.26x = 37,551,608,033.87
  5. Step 5: Solve for x
    x = 37,551,608,033.87/303,973.26
  6. Step 6: Final answer
    x = 123,535.89

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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.