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Finding the Fourth Proportional to 407,242.60, 561,968.04 and 225,954.04

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Solution

The fourth proportional to 407,242.60, 561,968.04 and 225,954.04 is: 311,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,242.60 : 561,968.04 = 225,954.04 : x
  2. Step 2: Convert to fraction form
    407,242.60/561,968.04 = 225,954.04/x
  3. Step 3: Cross multiply
    407,242.60x = 561,968.04 × 225,954.04
  4. Step 4: Simplify right side
    407,242.60x = 126,978,948,988.88
  5. Step 5: Solve for x
    x = 126,978,948,988.88/407,242.60
  6. Step 6: Final answer
    x = 311,801.73

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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.