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Finding the Fourth Proportional to 460,682.86, 691,122.70 and 161,173.20

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Solution

The fourth proportional to 460,682.86, 691,122.70 and 161,173.20 is: 241,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,682.86 : 691,122.70 = 161,173.20 : x
  2. Step 2: Convert to fraction form
    460,682.86/691,122.70 = 161,173.20/x
  3. Step 3: Cross multiply
    460,682.86x = 691,122.70 × 161,173.20
  4. Step 4: Simplify right side
    460,682.86x = 111,390,457,151.64
  5. Step 5: Solve for x
    x = 111,390,457,151.64/460,682.86
  6. Step 6: Final answer
    x = 241,794.23

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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.