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Finding the Fourth Proportional to 361,232.76, 542,199.06 and 174,375.48

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Solution

The fourth proportional to 361,232.76, 542,199.06 and 174,375.48 is: 261,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,232.76 : 542,199.06 = 174,375.48 : x
  2. Step 2: Convert to fraction form
    361,232.76/542,199.06 = 174,375.48/x
  3. Step 3: Cross multiply
    361,232.76x = 542,199.06 × 174,375.48
  4. Step 4: Simplify right side
    361,232.76x = 94,546,221,343.05
  5. Step 5: Solve for x
    x = 94,546,221,343.05/361,232.76
  6. Step 6: Final answer
    x = 261,732.13

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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.