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Finding the Fourth Proportional to 296,324.25, 444,500.64 and 96,644.26

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Solution

The fourth proportional to 296,324.25, 444,500.64 and 96,644.26 is: 144,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,324.25 : 444,500.64 = 96,644.26 : x
  2. Step 2: Convert to fraction form
    296,324.25/444,500.64 = 96,644.26/x
  3. Step 3: Cross multiply
    296,324.25x = 444,500.64 × 96,644.26
  4. Step 4: Simplify right side
    296,324.25x = 42,958,435,422.33
  5. Step 5: Solve for x
    x = 42,958,435,422.33/296,324.25
  6. Step 6: Final answer
    x = 144,971.04

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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.