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Finding the Fourth Proportional to 804,577, 1,206,865.50 and 205,539.48

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Solution

The fourth proportional to 804,577, 1,206,865.50 and 205,539.48 is: 308,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,577 : 1,206,865.50 = 205,539.48 : x
  2. Step 2: Convert to fraction form
    804,577/1,206,865.50 = 205,539.48/x
  3. Step 3: Cross multiply
    804,577x = 1,206,865.50 × 205,539.48
  4. Step 4: Simplify right side
    804,577x = 248,058,507,299.94
  5. Step 5: Solve for x
    x = 248,058,507,299.94/804,577
  6. Step 6: Final answer
    x = 308,309.22

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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.