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Finding the Fourth Proportional to 296,469.84, 444,703.26 and 71,830.29

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Solution

The fourth proportional to 296,469.84, 444,703.26 and 71,830.29 is: 107,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,469.84 : 444,703.26 = 71,830.29 : x
  2. Step 2: Convert to fraction form
    296,469.84/444,703.26 = 71,830.29/x
  3. Step 3: Cross multiply
    296,469.84x = 444,703.26 × 71,830.29
  4. Step 4: Simplify right side
    296,469.84x = 31,943,164,129.75
  5. Step 5: Solve for x
    x = 31,943,164,129.75/296,469.84
  6. Step 6: Final answer
    x = 107,745.07

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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.