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Finding the Fourth Proportional to 467,902.63, 701,916.50 and 164,224.72

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Solution

The fourth proportional to 467,902.63, 701,916.50 and 164,224.72 is: 246,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,902.63 : 701,916.50 = 164,224.72 : x
  2. Step 2: Convert to fraction form
    467,902.63/701,916.50 = 164,224.72/x
  3. Step 3: Cross multiply
    467,902.63x = 701,916.50 × 164,224.72
  4. Step 4: Simplify right side
    467,902.63x = 115,272,040,675.88
  5. Step 5: Solve for x
    x = 115,272,040,675.88/467,902.63
  6. Step 6: Final answer
    x = 246,359.04

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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.