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Finding the Fourth Proportional to 468,017.84, 701,767.44 and 218,563.76

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Solution

The fourth proportional to 468,017.84, 701,767.44 and 218,563.76 is: 327,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,017.84 : 701,767.44 = 218,563.76 : x
  2. Step 2: Convert to fraction form
    468,017.84/701,767.44 = 218,563.76/x
  3. Step 3: Cross multiply
    468,017.84x = 701,767.44 × 218,563.76
  4. Step 4: Simplify right side
    468,017.84x = 153,380,930,331.97
  5. Step 5: Solve for x
    x = 153,380,930,331.97/468,017.84
  6. Step 6: Final answer
    x = 327,724.54

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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.