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Finding the Fourth Proportional to 460,709.57, 691,162.77 and 161,199.92

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Solution

The fourth proportional to 460,709.57, 691,162.77 and 161,199.92 is: 241,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,709.57 : 691,162.77 = 161,199.92 : x
  2. Step 2: Convert to fraction form
    460,709.57/691,162.77 = 161,199.92/x
  3. Step 3: Cross multiply
    460,709.57x = 691,162.77 × 161,199.92
  4. Step 4: Simplify right side
    460,709.57x = 111,415,379,775.17
  5. Step 5: Solve for x
    x = 111,415,379,775.17/460,709.57
  6. Step 6: Final answer
    x = 241,834.31

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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.