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Finding the Fourth Proportional to 467,904.88, 701,919.87 and 164,226.97

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Solution

The fourth proportional to 467,904.88, 701,919.87 and 164,226.97 is: 246,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,904.88 : 701,919.87 = 164,226.97 : x
  2. Step 2: Convert to fraction form
    467,904.88/701,919.87 = 164,226.97/x
  3. Step 3: Cross multiply
    467,904.88x = 701,919.87 × 164,226.97
  4. Step 4: Simplify right side
    467,904.88x = 115,274,173,432.89
  5. Step 5: Solve for x
    x = 115,274,173,432.89/467,904.88
  6. Step 6: Final answer
    x = 246,362.41

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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.