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Finding the Fourth Proportional to 534,647.56, 802,010.70 and 179,659

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Solution

The fourth proportional to 534,647.56, 802,010.70 and 179,659 is: 269,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,647.56 : 802,010.70 = 179,659 : x
  2. Step 2: Convert to fraction form
    534,647.56/802,010.70 = 179,659/x
  3. Step 3: Cross multiply
    534,647.56x = 802,010.70 × 179,659
  4. Step 4: Simplify right side
    534,647.56x = 144,088,440,351.30
  5. Step 5: Solve for x
    x = 144,088,440,351.30/534,647.56
  6. Step 6: Final answer
    x = 269,501.73

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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.