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Finding the Fourth Proportional to 411,608.42, 617,412.65 and 271,334.24

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Solution

The fourth proportional to 411,608.42, 617,412.65 and 271,334.24 is: 407,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,608.42 : 617,412.65 = 271,334.24 : x
  2. Step 2: Convert to fraction form
    411,608.42/617,412.65 = 271,334.24/x
  3. Step 3: Cross multiply
    411,608.42x = 617,412.65 × 271,334.24
  4. Step 4: Simplify right side
    411,608.42x = 167,525,190,025.70
  5. Step 5: Solve for x
    x = 167,525,190,025.70/411,608.42
  6. Step 6: Final answer
    x = 407,001.37

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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.