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Finding the Fourth Proportional to 804,596.78, 1,206,894.12 and 205,558.40

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Solution

The fourth proportional to 804,596.78, 1,206,894.12 and 205,558.40 is: 308,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,596.78 : 1,206,894.12 = 205,558.40 : x
  2. Step 2: Convert to fraction form
    804,596.78/1,206,894.12 = 205,558.40/x
  3. Step 3: Cross multiply
    804,596.78x = 1,206,894.12 × 205,558.40
  4. Step 4: Simplify right side
    804,596.78x = 248,087,224,276.61
  5. Step 5: Solve for x
    x = 248,087,224,276.61/804,596.78
  6. Step 6: Final answer
    x = 308,337.33

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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.