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Finding the Fourth Proportional to 467,889.34, 701,839.54 and 164,291.12

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Solution

The fourth proportional to 467,889.34, 701,839.54 and 164,291.12 is: 246,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,889.34 : 701,839.54 = 164,291.12 : x
  2. Step 2: Convert to fraction form
    467,889.34/701,839.54 = 164,291.12/x
  3. Step 3: Cross multiply
    467,889.34x = 701,839.54 × 164,291.12
  4. Step 4: Simplify right side
    467,889.34x = 115,306,004,086.89
  5. Step 5: Solve for x
    x = 115,306,004,086.89/467,889.34
  6. Step 6: Final answer
    x = 246,438.62

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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.