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Finding the Fourth Proportional to 441,940.84, 609,858.68 and 258,196.46

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Solution

The fourth proportional to 441,940.84, 609,858.68 and 258,196.46 is: 356,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,940.84 : 609,858.68 = 258,196.46 : x
  2. Step 2: Convert to fraction form
    441,940.84/609,858.68 = 258,196.46/x
  3. Step 3: Cross multiply
    441,940.84x = 609,858.68 × 258,196.46
  4. Step 4: Simplify right side
    441,940.84x = 157,463,352,276.27
  5. Step 5: Solve for x
    x = 157,463,352,276.27/441,940.84
  6. Step 6: Final answer
    x = 356,299.62

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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.