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Finding the Fourth Proportional to 460,670.08, 691,103.53 and 161,160.43

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Solution

The fourth proportional to 460,670.08, 691,103.53 and 161,160.43 is: 241,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,670.08 : 691,103.53 = 161,160.43 : x
  2. Step 2: Convert to fraction form
    460,670.08/691,103.53 = 161,160.43/x
  3. Step 3: Cross multiply
    460,670.08x = 691,103.53 × 161,160.43
  4. Step 4: Simplify right side
    460,670.08x = 111,378,540,341.56
  5. Step 5: Solve for x
    x = 111,378,540,341.56/460,670.08
  6. Step 6: Final answer
    x = 241,775.07

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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.