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Finding the Fourth Proportional to 465,166.99, 697,753.07 and 165,659.23

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Solution

The fourth proportional to 465,166.99, 697,753.07 and 165,659.23 is: 248,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,166.99 : 697,753.07 = 165,659.23 : x
  2. Step 2: Convert to fraction form
    465,166.99/697,753.07 = 165,659.23/x
  3. Step 3: Cross multiply
    465,166.99x = 697,753.07 × 165,659.23
  4. Step 4: Simplify right side
    465,166.99x = 115,589,236,306.34
  5. Step 5: Solve for x
    x = 115,589,236,306.34/465,166.99
  6. Step 6: Final answer
    x = 248,489.77

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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.