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Finding the Fourth Proportional to 579,944.80, 869,917.20 and 411,983.20

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Solution

The fourth proportional to 579,944.80, 869,917.20 and 411,983.20 is: 617,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,944.80 : 869,917.20 = 411,983.20 : x
  2. Step 2: Convert to fraction form
    579,944.80/869,917.20 = 411,983.20/x
  3. Step 3: Cross multiply
    579,944.80x = 869,917.20 × 411,983.20
  4. Step 4: Simplify right side
    579,944.80x = 358,391,271,791.04
  5. Step 5: Solve for x
    x = 358,391,271,791.04/579,944.80
  6. Step 6: Final answer
    x = 617,974.80

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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.