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Finding the Fourth Proportional to 409,804.62, 614,706.92 and 110,285.85

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Solution

The fourth proportional to 409,804.62, 614,706.92 and 110,285.85 is: 165,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,804.62 : 614,706.92 = 110,285.85 : x
  2. Step 2: Convert to fraction form
    409,804.62/614,706.92 = 110,285.85/x
  3. Step 3: Cross multiply
    409,804.62x = 614,706.92 × 110,285.85
  4. Step 4: Simplify right side
    409,804.62x = 67,793,477,960.73
  5. Step 5: Solve for x
    x = 67,793,477,960.73/409,804.62
  6. Step 6: Final answer
    x = 165,428.78

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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.