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Finding the Fourth Proportional to 307,362.26, 424,190.16 and 186,494.06

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Solution

The fourth proportional to 307,362.26, 424,190.16 and 186,494.06 is: 257,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,362.26 : 424,190.16 = 186,494.06 : x
  2. Step 2: Convert to fraction form
    307,362.26/424,190.16 = 186,494.06/x
  3. Step 3: Cross multiply
    307,362.26x = 424,190.16 × 186,494.06
  4. Step 4: Simplify right side
    307,362.26x = 79,108,944,217.98
  5. Step 5: Solve for x
    x = 79,108,944,217.98/307,362.26
  6. Step 6: Final answer
    x = 257,380.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.