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Finding the Fourth Proportional to 323,358.22, 446,234.34 and 187,471

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Solution

The fourth proportional to 323,358.22, 446,234.34 and 187,471 is: 258,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,358.22 : 446,234.34 = 187,471 : x
  2. Step 2: Convert to fraction form
    323,358.22/446,234.34 = 187,471/x
  3. Step 3: Cross multiply
    323,358.22x = 446,234.34 × 187,471
  4. Step 4: Simplify right side
    323,358.22x = 83,655,997,954.14
  5. Step 5: Solve for x
    x = 83,655,997,954.14/323,358.22
  6. Step 6: Final answer
    x = 258,709.98

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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.