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Finding the Fourth Proportional to 361,533.06, 541,940.67 and 171,659.70

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Solution

The fourth proportional to 361,533.06, 541,940.67 and 171,659.70 is: 257,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,533.06 : 541,940.67 = 171,659.70 : x
  2. Step 2: Convert to fraction form
    361,533.06/541,940.67 = 171,659.70/x
  3. Step 3: Cross multiply
    361,533.06x = 541,940.67 × 171,659.70
  4. Step 4: Simplify right side
    361,533.06x = 93,029,372,830.00
  5. Step 5: Solve for x
    x = 93,029,372,830.00/361,533.06
  6. Step 6: Final answer
    x = 257,319.13

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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.