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Finding the Fourth Proportional to 323,300.42, 446,168.34 and 180,060.44

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Solution

The fourth proportional to 323,300.42, 446,168.34 and 180,060.44 is: 248,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,300.42 : 446,168.34 = 180,060.44 : x
  2. Step 2: Convert to fraction form
    323,300.42/446,168.34 = 180,060.44/x
  3. Step 3: Cross multiply
    323,300.42x = 446,168.34 × 180,060.44
  4. Step 4: Simplify right side
    323,300.42x = 80,337,267,614.47
  5. Step 5: Solve for x
    x = 80,337,267,614.47/323,300.42
  6. Step 6: Final answer
    x = 248,491.07

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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.