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Finding the Fourth Proportional to 298,548.48, 412,035.84 and 171,199.20

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Solution

The fourth proportional to 298,548.48, 412,035.84 and 171,199.20 is: 236,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,548.48 : 412,035.84 = 171,199.20 : x
  2. Step 2: Convert to fraction form
    298,548.48/412,035.84 = 171,199.20/x
  3. Step 3: Cross multiply
    298,548.48x = 412,035.84 × 171,199.20
  4. Step 4: Simplify right side
    298,548.48x = 70,540,206,179.33
  5. Step 5: Solve for x
    x = 70,540,206,179.33/298,548.48
  6. Step 6: Final answer
    x = 236,277.22

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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.