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Finding the Fourth Proportional to 578,894.80, 868,495.80 and 204,878.80

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Solution

The fourth proportional to 578,894.80, 868,495.80 and 204,878.80 is: 307,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,894.80 : 868,495.80 = 204,878.80 : x
  2. Step 2: Convert to fraction form
    578,894.80/868,495.80 = 204,878.80/x
  3. Step 3: Cross multiply
    578,894.80x = 868,495.80 × 204,878.80
  4. Step 4: Simplify right side
    578,894.80x = 177,936,377,309.04
  5. Step 5: Solve for x
    x = 177,936,377,309.04/578,894.80
  6. Step 6: Final answer
    x = 307,372.56

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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.