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Finding the Fourth Proportional to 307,297.44, 424,098.32 and 186,469.34

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Solution

The fourth proportional to 307,297.44, 424,098.32 and 186,469.34 is: 257,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,297.44 : 424,098.32 = 186,469.34 : x
  2. Step 2: Convert to fraction form
    307,297.44/424,098.32 = 186,469.34/x
  3. Step 3: Cross multiply
    307,297.44x = 424,098.32 × 186,469.34
  4. Step 4: Simplify right side
    307,297.44x = 79,081,330,772.67
  5. Step 5: Solve for x
    x = 79,081,330,772.67/307,297.44
  6. Step 6: Final answer
    x = 257,344.58

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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.