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Finding the Fourth Proportional to 465,828.84, 642,808.44 and 261,847.32

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Solution

The fourth proportional to 465,828.84, 642,808.44 and 261,847.32 is: 361,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,828.84 : 642,808.44 = 261,847.32 : x
  2. Step 2: Convert to fraction form
    465,828.84/642,808.44 = 261,847.32/x
  3. Step 3: Cross multiply
    465,828.84x = 642,808.44 × 261,847.32
  4. Step 4: Simplify right side
    465,828.84x = 168,317,667,287.38
  5. Step 5: Solve for x
    x = 168,317,667,287.38/465,828.84
  6. Step 6: Final answer
    x = 361,329.43

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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.