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Finding the Fourth Proportional to 460,677.86, 691,115.20 and 161,168.21

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Solution

The fourth proportional to 460,677.86, 691,115.20 and 161,168.21 is: 241,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,677.86 : 691,115.20 = 161,168.21 : x
  2. Step 2: Convert to fraction form
    460,677.86/691,115.20 = 161,168.21/x
  3. Step 3: Cross multiply
    460,677.86x = 691,115.20 × 161,168.21
  4. Step 4: Simplify right side
    460,677.86x = 111,385,799,687.79
  5. Step 5: Solve for x
    x = 111,385,799,687.79/460,677.86
  6. Step 6: Final answer
    x = 241,786.74

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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.