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Finding the Fourth Proportional to 294,110.75, 441,166.17 and 72,494.75

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Solution

The fourth proportional to 294,110.75, 441,166.17 and 72,494.75 is: 108,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,110.75 : 441,166.17 = 72,494.75 : x
  2. Step 2: Convert to fraction form
    294,110.75/441,166.17 = 72,494.75/x
  3. Step 3: Cross multiply
    294,110.75x = 441,166.17 × 72,494.75
  4. Step 4: Simplify right side
    294,110.75x = 31,982,231,202.61
  5. Step 5: Solve for x
    x = 31,982,231,202.61/294,110.75
  6. Step 6: Final answer
    x = 108,742.14

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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.