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Finding the Fourth Proportional to 307,073, 460,545.96 and 82,380.18

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Solution

The fourth proportional to 307,073, 460,545.96 and 82,380.18 is: 123,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,073 : 460,545.96 = 82,380.18 : x
  2. Step 2: Convert to fraction form
    307,073/460,545.96 = 82,380.18/x
  3. Step 3: Cross multiply
    307,073x = 460,545.96 × 82,380.18
  4. Step 4: Simplify right side
    307,073x = 37,939,859,083.07
  5. Step 5: Solve for x
    x = 37,939,859,083.07/307,073
  6. Step 6: Final answer
    x = 123,553.22

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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.