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Finding the Fourth Proportional to 534,649.56, 802,013.70 and 179,661

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Solution

The fourth proportional to 534,649.56, 802,013.70 and 179,661 is: 269,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,649.56 : 802,013.70 = 179,661 : x
  2. Step 2: Convert to fraction form
    534,649.56/802,013.70 = 179,661/x
  3. Step 3: Cross multiply
    534,649.56x = 802,013.70 × 179,661
  4. Step 4: Simplify right side
    534,649.56x = 144,090,583,355.70
  5. Step 5: Solve for x
    x = 144,090,583,355.70/534,649.56
  6. Step 6: Final answer
    x = 269,504.73

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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.