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Finding the Fourth Proportional to 419,245.49, 578,529.59 and 237,961.11

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Solution

The fourth proportional to 419,245.49, 578,529.59 and 237,961.11 is: 328,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,245.49 : 578,529.59 = 237,961.11 : x
  2. Step 2: Convert to fraction form
    419,245.49/578,529.59 = 237,961.11/x
  3. Step 3: Cross multiply
    419,245.49x = 578,529.59 × 237,961.11
  4. Step 4: Simplify right side
    419,245.49x = 137,667,542,214.44
  5. Step 5: Solve for x
    x = 137,667,542,214.44/419,245.49
  6. Step 6: Final answer
    x = 328,369.77

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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.