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Finding the Fourth Proportional to 361,017.76, 541,876.56 and 174,160.48

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Solution

The fourth proportional to 361,017.76, 541,876.56 and 174,160.48 is: 261,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,017.76 : 541,876.56 = 174,160.48 : x
  2. Step 2: Convert to fraction form
    361,017.76/541,876.56 = 174,160.48/x
  3. Step 3: Cross multiply
    361,017.76x = 541,876.56 × 174,160.48
  4. Step 4: Simplify right side
    361,017.76x = 94,373,481,790.35
  5. Step 5: Solve for x
    x = 94,373,481,790.35/361,017.76
  6. Step 6: Final answer
    x = 261,409.53

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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.