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Finding the Fourth Proportional to 296,149.84, 444,224.42 and 96,469.91

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Solution

The fourth proportional to 296,149.84, 444,224.42 and 96,469.91 is: 144,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,149.84 : 444,224.42 = 96,469.91 : x
  2. Step 2: Convert to fraction form
    296,149.84/444,224.42 = 96,469.91/x
  3. Step 3: Cross multiply
    296,149.84x = 444,224.42 × 96,469.91
  4. Step 4: Simplify right side
    296,149.84x = 42,854,289,548.32
  5. Step 5: Solve for x
    x = 42,854,289,548.32/296,149.84
  6. Step 6: Final answer
    x = 144,704.75

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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.