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Finding the Fourth Proportional to 447,103.38, 617,006.81 and 243,156.22

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Solution

The fourth proportional to 447,103.38, 617,006.81 and 243,156.22 is: 335,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,103.38 : 617,006.81 = 243,156.22 : x
  2. Step 2: Convert to fraction form
    447,103.38/617,006.81 = 243,156.22/x
  3. Step 3: Cross multiply
    447,103.38x = 617,006.81 × 243,156.22
  4. Step 4: Simplify right side
    447,103.38x = 150,029,043,633.86
  5. Step 5: Solve for x
    x = 150,029,043,633.86/447,103.38
  6. Step 6: Final answer
    x = 335,557.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.