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Finding the Fourth Proportional to 307,028.22, 460,509.93 and 82,411.98

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Solution

The fourth proportional to 307,028.22, 460,509.93 and 82,411.98 is: 123,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,028.22 : 460,509.93 = 82,411.98 : x
  2. Step 2: Convert to fraction form
    307,028.22/460,509.93 = 82,411.98/x
  3. Step 3: Cross multiply
    307,028.22x = 460,509.93 × 82,411.98
  4. Step 4: Simplify right side
    307,028.22x = 37,951,535,140.96
  5. Step 5: Solve for x
    x = 37,951,535,140.96/307,028.22
  6. Step 6: Final answer
    x = 123,609.27

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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.