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Finding the Fourth Proportional to 275,000.70, 412,501.05 and 164,408.70

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Solution

The fourth proportional to 275,000.70, 412,501.05 and 164,408.70 is: 246,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,000.70 : 412,501.05 = 164,408.70 : x
  2. Step 2: Convert to fraction form
    275,000.70/412,501.05 = 164,408.70/x
  3. Step 3: Cross multiply
    275,000.70x = 412,501.05 × 164,408.70
  4. Step 4: Simplify right side
    275,000.70x = 67,818,761,379.14
  5. Step 5: Solve for x
    x = 67,818,761,379.14/275,000.70
  6. Step 6: Final answer
    x = 246,613.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.