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Finding the Fourth Proportional to 460,672.83, 691,107.66 and 161,163.18

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Solution

The fourth proportional to 460,672.83, 691,107.66 and 161,163.18 is: 241,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,672.83 : 691,107.66 = 161,163.18 : x
  2. Step 2: Convert to fraction form
    460,672.83/691,107.66 = 161,163.18/x
  3. Step 3: Cross multiply
    460,672.83x = 691,107.66 × 161,163.18
  4. Step 4: Simplify right side
    460,672.83x = 111,381,108,207.96
  5. Step 5: Solve for x
    x = 111,381,108,207.96/460,672.83
  6. Step 6: Final answer
    x = 241,779.20

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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.