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Finding the Fourth Proportional to 378,706.06, 567,741.03 and 165,311.61

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Solution

The fourth proportional to 378,706.06, 567,741.03 and 165,311.61 is: 247,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,706.06 : 567,741.03 = 165,311.61 : x
  2. Step 2: Convert to fraction form
    378,706.06/567,741.03 = 165,311.61/x
  3. Step 3: Cross multiply
    378,706.06x = 567,741.03 × 165,311.61
  4. Step 4: Simplify right side
    378,706.06x = 93,854,183,732.36
  5. Step 5: Solve for x
    x = 93,854,183,732.36/378,706.06
  6. Step 6: Final answer
    x = 247,828.58

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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.