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Finding the Fourth Proportional to 534,698.20, 802,168.80 and 179,748.10

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Solution

The fourth proportional to 534,698.20, 802,168.80 and 179,748.10 is: 269,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,698.20 : 802,168.80 = 179,748.10 : x
  2. Step 2: Convert to fraction form
    534,698.20/802,168.80 = 179,748.10/x
  3. Step 3: Cross multiply
    534,698.20x = 802,168.80 × 179,748.10
  4. Step 4: Simplify right side
    534,698.20x = 144,188,317,679.28
  5. Step 5: Solve for x
    x = 144,188,317,679.28/534,698.20
  6. Step 6: Final answer
    x = 269,662.99

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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.