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Finding the Fourth Proportional to 804,584, 1,206,876 and 205,546.48

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Solution

The fourth proportional to 804,584, 1,206,876 and 205,546.48 is: 308,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,584 : 1,206,876 = 205,546.48 : x
  2. Step 2: Convert to fraction form
    804,584/1,206,876 = 205,546.48/x
  3. Step 3: Cross multiply
    804,584x = 1,206,876 × 205,546.48
  4. Step 4: Simplify right side
    804,584x = 248,069,113,596.48
  5. Step 5: Solve for x
    x = 248,069,113,596.48/804,584
  6. Step 6: Final answer
    x = 308,319.72

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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.