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Finding the Fourth Proportional to 307,759.96, 462,451.78 and 165,710.26

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Solution

The fourth proportional to 307,759.96, 462,451.78 and 165,710.26 is: 249,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,759.96 : 462,451.78 = 165,710.26 : x
  2. Step 2: Convert to fraction form
    307,759.96/462,451.78 = 165,710.26/x
  3. Step 3: Cross multiply
    307,759.96x = 462,451.78 × 165,710.26
  4. Step 4: Simplify right side
    307,759.96x = 76,633,004,701.26
  5. Step 5: Solve for x
    x = 76,633,004,701.26/307,759.96
  6. Step 6: Final answer
    x = 249,002.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.