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Finding the Fourth Proportional to 323,381.43, 446,279.81 and 180,141.43

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Solution

The fourth proportional to 323,381.43, 446,279.81 and 180,141.43 is: 248,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,381.43 : 446,279.81 = 180,141.43 : x
  2. Step 2: Convert to fraction form
    323,381.43/446,279.81 = 180,141.43/x
  3. Step 3: Cross multiply
    323,381.43x = 446,279.81 × 180,141.43
  4. Step 4: Simplify right side
    323,381.43x = 80,393,483,153.53
  5. Step 5: Solve for x
    x = 80,393,483,153.53/323,381.43
  6. Step 6: Final answer
    x = 248,602.66

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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.