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Finding the Fourth Proportional to 409,651.80, 614,476.67 and 110,132.36

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Solution

The fourth proportional to 409,651.80, 614,476.67 and 110,132.36 is: 165,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,651.80 : 614,476.67 = 110,132.36 : x
  2. Step 2: Convert to fraction form
    409,651.80/614,476.67 = 110,132.36/x
  3. Step 3: Cross multiply
    409,651.80x = 614,476.67 × 110,132.36
  4. Step 4: Simplify right side
    409,651.80x = 67,673,762,759.66
  5. Step 5: Solve for x
    x = 67,673,762,759.66/409,651.80
  6. Step 6: Final answer
    x = 165,198.26

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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.