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Finding the Fourth Proportional to 299,233.42, 412,957.92 and 171,917.26

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Solution

The fourth proportional to 299,233.42, 412,957.92 and 171,917.26 is: 237,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,233.42 : 412,957.92 = 171,917.26 : x
  2. Step 2: Convert to fraction form
    299,233.42/412,957.92 = 171,917.26/x
  3. Step 3: Cross multiply
    299,233.42x = 412,957.92 × 171,917.26
  4. Step 4: Simplify right side
    299,233.42x = 70,994,594,101.70
  5. Step 5: Solve for x
    x = 70,994,594,101.70/299,233.42
  6. Step 6: Final answer
    x = 237,254.90

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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.