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Finding the Fourth Proportional to 467,893.34, 701,845.54 and 164,295.12

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Solution

The fourth proportional to 467,893.34, 701,845.54 and 164,295.12 is: 246,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,893.34 : 701,845.54 = 164,295.12 : x
  2. Step 2: Convert to fraction form
    467,893.34/701,845.54 = 164,295.12/x
  3. Step 3: Cross multiply
    467,893.34x = 701,845.54 × 164,295.12
  4. Step 4: Simplify right side
    467,893.34x = 115,309,797,215.77
  5. Step 5: Solve for x
    x = 115,309,797,215.77/467,893.34
  6. Step 6: Final answer
    x = 246,444.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.