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Finding the Fourth Proportional to 307,755.96, 462,445.77 and 165,706.26

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Solution

The fourth proportional to 307,755.96, 462,445.77 and 165,706.26 is: 248,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,755.96 : 462,445.77 = 165,706.26 : x
  2. Step 2: Convert to fraction form
    307,755.96/462,445.77 = 165,706.26/x
  3. Step 3: Cross multiply
    307,755.96x = 462,445.77 × 165,706.26
  4. Step 4: Simplify right side
    307,755.96x = 76,630,158,999.52
  5. Step 5: Solve for x
    x = 76,630,158,999.52/307,755.96
  6. Step 6: Final answer
    x = 248,996.51

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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.