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Finding the Fourth Proportional to 578,892.80, 868,492.80 and 204,876.80

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Solution

The fourth proportional to 578,892.80, 868,492.80 and 204,876.80 is: 307,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,892.80 : 868,492.80 = 204,876.80 : x
  2. Step 2: Convert to fraction form
    578,892.80/868,492.80 = 204,876.80/x
  3. Step 3: Cross multiply
    578,892.80x = 868,492.80 × 204,876.80
  4. Step 4: Simplify right side
    578,892.80x = 177,934,025,687.04
  5. Step 5: Solve for x
    x = 177,934,025,687.04/578,892.80
  6. Step 6: Final answer
    x = 307,369.56

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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.