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Finding the Fourth Proportional to 458,096.80, 687,663.60 and 271,213.60

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Solution

The fourth proportional to 458,096.80, 687,663.60 and 271,213.60 is: 407,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,096.80 : 687,663.60 = 271,213.60 : x
  2. Step 2: Convert to fraction form
    458,096.80/687,663.60 = 271,213.60/x
  3. Step 3: Cross multiply
    458,096.80x = 687,663.60 × 271,213.60
  4. Step 4: Simplify right side
    458,096.80x = 186,503,720,544.96
  5. Step 5: Solve for x
    x = 186,503,720,544.96/458,096.80
  6. Step 6: Final answer
    x = 407,127.32

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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.