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Finding the Fourth Proportional to 804,596.08, 1,206,894 and 205,558.48

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Solution

The fourth proportional to 804,596.08, 1,206,894 and 205,558.48 is: 308,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,596.08 : 1,206,894 = 205,558.48 : x
  2. Step 2: Convert to fraction form
    804,596.08/1,206,894 = 205,558.48/x
  3. Step 3: Cross multiply
    804,596.08x = 1,206,894 × 205,558.48
  4. Step 4: Simplify right side
    804,596.08x = 248,087,296,161.12
  5. Step 5: Solve for x
    x = 248,087,296,161.12/804,596.08
  6. Step 6: Final answer
    x = 308,337.69

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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.