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Finding the Fourth Proportional to 296,401.92, 444,604.02 and 71,761.98

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Solution

The fourth proportional to 296,401.92, 444,604.02 and 71,761.98 is: 107,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,401.92 : 444,604.02 = 71,761.98 : x
  2. Step 2: Convert to fraction form
    296,401.92/444,604.02 = 71,761.98/x
  3. Step 3: Cross multiply
    296,401.92x = 444,604.02 × 71,761.98
  4. Step 4: Simplify right side
    296,401.92x = 31,905,664,791.16
  5. Step 5: Solve for x
    x = 31,905,664,791.16/296,401.92
  6. Step 6: Final answer
    x = 107,643.25

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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.