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Finding the Fourth Proportional to 298,958.90, 412,563.06 and 162,992.84

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Solution

The fourth proportional to 298,958.90, 412,563.06 and 162,992.84 is: 224,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,958.90 : 412,563.06 = 162,992.84 : x
  2. Step 2: Convert to fraction form
    298,958.90/412,563.06 = 162,992.84/x
  3. Step 3: Cross multiply
    298,958.90x = 412,563.06 × 162,992.84
  4. Step 4: Simplify right side
    298,958.90x = 67,244,824,828.49
  5. Step 5: Solve for x
    x = 67,244,824,828.49/298,958.90
  6. Step 6: Final answer
    x = 224,930.00

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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.