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Finding the Fourth Proportional to 411,361.66, 617,056.19 and 141,487.21

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Solution

The fourth proportional to 411,361.66, 617,056.19 and 141,487.21 is: 212,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,361.66 : 617,056.19 = 141,487.21 : x
  2. Step 2: Convert to fraction form
    411,361.66/617,056.19 = 141,487.21/x
  3. Step 3: Cross multiply
    411,361.66x = 617,056.19 × 141,487.21
  4. Step 4: Simplify right side
    411,361.66x = 87,305,558,736.33
  5. Step 5: Solve for x
    x = 87,305,558,736.33/411,361.66
  6. Step 6: Final answer
    x = 212,235.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.