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Finding the Fourth Proportional to 447,808.82, 617,961.50 and 243,858.17

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Solution

The fourth proportional to 447,808.82, 617,961.50 and 243,858.17 is: 336,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,808.82 : 617,961.50 = 243,858.17 : x
  2. Step 2: Convert to fraction form
    447,808.82/617,961.50 = 243,858.17/x
  3. Step 3: Cross multiply
    447,808.82x = 617,961.50 × 243,858.17
  4. Step 4: Simplify right side
    447,808.82x = 150,694,956,211.36
  5. Step 5: Solve for x
    x = 150,694,956,211.36/447,808.82
  6. Step 6: Final answer
    x = 336,516.28

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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.