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Finding the Fourth Proportional to 361,273.76, 542,260.56 and 174,416.48

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Solution

The fourth proportional to 361,273.76, 542,260.56 and 174,416.48 is: 261,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,273.76 : 542,260.56 = 174,416.48 : x
  2. Step 2: Convert to fraction form
    361,273.76/542,260.56 = 174,416.48/x
  3. Step 3: Cross multiply
    361,273.76x = 542,260.56 × 174,416.48
  4. Step 4: Simplify right side
    361,273.76x = 94,579,178,118.03
  5. Step 5: Solve for x
    x = 94,579,178,118.03/361,273.76
  6. Step 6: Final answer
    x = 261,793.66

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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.